Subjects -> MATHEMATICS (Total: 1117 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (818 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (818 journals)            First | 1 2 3 4 5     

Showing 401 - 538 of 538 Journals sorted alphabetically
Journal of Computational Physics     Hybrid Journal   (Followers: 71)
Journal of Computational Physics : X     Open Access   (Followers: 1)
Journal of Computer Engineering, System and Science (CESS)     Open Access  
Journal of Contemporary Mathematical Analysis     Hybrid Journal  
Journal of Cryptology     Hybrid Journal   (Followers: 6)
Journal of Difference Equations and Applications     Hybrid Journal  
Journal of Differential Equations     Full-text available via subscription   (Followers: 1)
Journal of Discrete Algorithms     Hybrid Journal   (Followers: 4)
Journal of Discrete Mathematics     Open Access   (Followers: 1)
Journal of Dynamics and Differential Equations     Hybrid Journal  
Journal of Engineering Mathematics     Hybrid Journal   (Followers: 2)
Journal of Evolution Equations     Hybrid Journal  
Journal of Experimental Algorithmics     Full-text available via subscription   (Followers: 1)
Journal of Flood Risk Management     Hybrid Journal   (Followers: 15)
Journal of Formalized Reasoning     Open Access   (Followers: 2)
Journal of Function Spaces     Open Access  
Journal of Functional Analysis     Full-text available via subscription   (Followers: 2)
Journal of Geochemical Exploration     Hybrid Journal   (Followers: 3)
Journal of Geological Research     Open Access   (Followers: 1)
Journal of Geovisualization and Spatial Analysis     Hybrid Journal  
Journal of Global Optimization     Hybrid Journal   (Followers: 7)
Journal of Global Research in Mathematical Archives     Open Access   (Followers: 1)
Journal of Group Theory     Hybrid Journal   (Followers: 2)
Journal of Homotopy and Related Structures     Hybrid Journal  
Journal of Honai Math     Open Access  
Journal of Humanistic Mathematics     Open Access   (Followers: 1)
Journal of Hyperbolic Differential Equations     Hybrid Journal  
Journal of Indian Council of Philosophical Research     Hybrid Journal  
Journal of Industrial Mathematics     Open Access   (Followers: 2)
Journal of Inequalities and Applications     Open Access  
Journal of Infrared, Millimeter and Terahertz Waves     Hybrid Journal   (Followers: 3)
Journal of Integrable Systems     Open Access   (Followers: 1)
Journal of K-Theory     Full-text available via subscription  
Journal of Knot Theory and Its Ramifications     Hybrid Journal   (Followers: 1)
Journal of Liquid Chromatography & Related Technologies     Hybrid Journal   (Followers: 7)
Journal of Logical and Algebraic Methods in Programming     Hybrid Journal  
Journal of Manufacturing Systems     Full-text available via subscription   (Followers: 4)
Journal of Mathematical Analysis and Applications     Full-text available via subscription   (Followers: 5)
Journal of mathematical and computational science     Open Access   (Followers: 7)
Journal of Mathematical and Fundamental Sciences     Open Access  
Journal of Mathematical Behavior     Hybrid Journal   (Followers: 3)
Journal of Mathematical Chemistry     Hybrid Journal   (Followers: 4)
Journal of Mathematical Cryptology     Hybrid Journal   (Followers: 1)
Journal of Mathematical Extension     Open Access   (Followers: 3)
Journal of Mathematical Finance     Open Access   (Followers: 9)
Journal of Mathematical Imaging and Vision     Hybrid Journal   (Followers: 6)
Journal of Mathematical Logic     Hybrid Journal   (Followers: 3)
Journal of Mathematical Modelling and Algorithms     Hybrid Journal   (Followers: 1)
Journal of Mathematical Neuroscience     Open Access   (Followers: 10)
Journal of Mathematical Sciences     Hybrid Journal  
Journal of Mathematical Sciences and Applications     Open Access   (Followers: 3)
Journal of Mathematical Sociology     Hybrid Journal   (Followers: 3)
Journal of Mathematics     Open Access  
Journal of Mathematics and Statistics     Open Access   (Followers: 8)
Journal of Mathematics and Statistics Studies     Open Access   (Followers: 3)
Journal of Mathematics and the Arts     Hybrid Journal   (Followers: 2)
Journal of Mathematics Education at Teachers College     Open Access   (Followers: 3)
Journal of Mathematics in Industry     Open Access  
Journal of Mathematics Research     Open Access   (Followers: 6)
Journal of Metallurgy     Open Access   (Followers: 8)
Journal of Modern Mathematics Frontier     Open Access  
Journal of Multidisciplinary Modeling and Optimization     Open Access  
Journal of Multivariate Analysis     Hybrid Journal   (Followers: 13)
Journal of Natural Sciences and Mathematics Research     Open Access  
Journal of Nonlinear Analysis and Optimization : Theory & Applications     Open Access   (Followers: 4)
Journal of Nonlinear Mathematical Physics     Hybrid Journal   (Followers: 1)
Journal of Nonlinear Science     Hybrid Journal   (Followers: 1)
Journal of Numerical Cognition     Open Access   (Followers: 1)
Journal of Numerical Mathematics     Hybrid Journal   (Followers: 2)
Journal of Optimization     Open Access   (Followers: 5)
Journal of Peridynamics and Nonlocal Modeling     Hybrid Journal  
Journal of Problem Solving     Open Access   (Followers: 2)
Journal of Progressive Research in Mathematics     Open Access   (Followers: 5)
Journal of Pseudo-Differential Operators and Applications     Hybrid Journal  
Journal of Pure and Applied Algebra     Full-text available via subscription   (Followers: 4)
Journal of Quantitative Analysis in Sports     Hybrid Journal   (Followers: 9)
Journal of Quantitative Linguistics     Hybrid Journal   (Followers: 6)
Journal of Scientific Computing     Hybrid Journal   (Followers: 18)
Journal of Scientific Research     Open Access  
Journal of Symbolic Computation     Hybrid Journal   (Followers: 1)
Journal of the Australian Mathematical Society     Full-text available via subscription  
Journal of the Egyptian Mathematical Society     Open Access  
Journal of the European Mathematical Society     Full-text available via subscription   (Followers: 1)
Journal of the Indian Mathematical Society     Hybrid Journal   (Followers: 1)
Journal of the Institute of Mathematics of Jussieu     Hybrid Journal  
Journal of the London Mathematical Society     Hybrid Journal   (Followers: 2)
Journal of the Nigerian Mathematical Society     Open Access   (Followers: 1)
Journal of Theoretical and Applied Physics     Open Access   (Followers: 8)
Journal of Topology and Analysis     Hybrid Journal  
Journal of Transport and Supply Chain Management     Open Access   (Followers: 16)
Journal of Turbulence     Hybrid Journal   (Followers: 9)
Journal of Uncertainty Analysis and Applications     Open Access   (Followers: 1)
Journal of Universal Mathematics     Open Access  
Journal of Urban Regeneration & Renewal     Full-text available via subscription   (Followers: 11)
JRAMathEdu : Journal of Research and Advances in Mathematics Education     Open Access   (Followers: 6)
JUMLAHKU : Jurnal Matematika Ilmiah STKIP Muhammadiyah Kuningan     Open Access   (Followers: 2)
JURING (Journal for Research in Mathematics Learning)     Open Access   (Followers: 1)
Jurnal Ilmiah AdMathEdu     Open Access  
Jurnal Matematika     Open Access   (Followers: 1)
Jurnal Matematika Integratif     Open Access  
Jurnal Matematika, Sains, Dan Teknologi     Open Access  
Jurnal Natural     Open Access  
Jurnal Pendidikan Matematika Raflesia     Open Access  
Jurnal Penelitian Pembelajaran Matematika Sekolah     Open Access  
Jurnal Penelitian Sains (JPS)     Open Access  
Jurnal Riset Pendidikan Matematika     Open Access  
Jurnal Sains Matematika dan Statistika     Open Access  
Jurnal Tadris Matematika     Open Access  
Jurnal Teknologi dan Sistem Komputer     Open Access  
Kontinu : Jurnal Penelitian Didaktik Matematika     Open Access   (Followers: 2)
Kreano, Jurnal Matematika Kreatif-Inovatif     Open Access   (Followers: 6)
Le Matematiche     Open Access  
Learning and Teaching Mathematics     Full-text available via subscription   (Followers: 7)
Lettera Matematica     Hybrid Journal  
Lietuvos Matematikos Rinkinys     Open Access   (Followers: 3)
Limits : Journal of Mathematics and Its Applications     Open Access   (Followers: 1)
Linear Algebra and its Applications     Full-text available via subscription   (Followers: 23)
Linear and Multilinear Algebra     Hybrid Journal   (Followers: 8)
Lithuanian Mathematical Journal     Hybrid Journal  
LMS Journal of Computation and Mathematics     Free  
Lobachevskii Journal of Mathematics     Open Access  
Logic and Analysis     Hybrid Journal   (Followers: 1)
Logic Journal of the IGPL     Hybrid Journal   (Followers: 1)
Logica Universalis     Hybrid Journal  
manuscripta mathematica     Hybrid Journal  
MaPan : Jurnal Matematika dan Pembelajaran     Open Access  
Marine Genomics     Hybrid Journal   (Followers: 2)
Matemáticas, Educación y Sociedad     Open Access  
Matematicheskie Zametki     Full-text available via subscription  
Matematychni Studii     Open Access  
Mathematica Eterna     Open Access  
Mathematica Scandinavica     Full-text available via subscription   (Followers: 1)
Mathematica Slovaca     Hybrid Journal   (Followers: 1)
Mathematical Analysis and its Contemporary Applications     Open Access   (Followers: 1)
Mathematical and Computational Forestry & Natural-Resource Sciences     Free  
Mathematical Communications     Open Access  
Mathematical Computation     Open Access   (Followers: 1)
Mathematical Geosciences     Hybrid Journal   (Followers: 4)
Mathematical Journal of Interdisciplinary Sciences     Open Access   (Followers: 1)
Mathematical Medicine and Biology: A Journal of the IMA     Hybrid Journal   (Followers: 2)
Mathematical Methods in the Applied Sciences     Hybrid Journal   (Followers: 4)
Mathematical Methods of Statistics     Hybrid Journal   (Followers: 4)
Mathematical Modelling and Analysis     Open Access   (Followers: 1)
Mathematical Modelling in Civil Engineering     Open Access   (Followers: 5)
Mathematical Modelling of Natural Phenomena     Open Access   (Followers: 2)
Mathematical Models and Methods in Applied Sciences     Hybrid Journal   (Followers: 2)
Mathematical Models in Engineering     Open Access   (Followers: 1)
Mathematical Notes     Hybrid Journal  
Mathematical Proceedings of the Cambridge Philosophical Society     Full-text available via subscription   (Followers: 2)
Mathematical Programming Computation     Hybrid Journal   (Followers: 3)
Mathematical Sciences     Open Access  
Mathematical Social Sciences     Hybrid Journal   (Followers: 1)
Mathematical Theory and Modeling     Open Access   (Followers: 13)
Mathematical Thinking and Learning     Hybrid Journal   (Followers: 4)
Mathematics and Statistics     Open Access   (Followers: 5)
Mathematics Education Forum Chitwan     Open Access   (Followers: 2)
Mathematics Education Journal     Open Access   (Followers: 3)
Mathematics Education Research Journal     Partially Free   (Followers: 20)
Mathematics in Science and Engineering     Full-text available via subscription  
Mathematics of Control, Signals, and Systems (MCSS)     Hybrid Journal   (Followers: 5)
Mathematics of Quantum and Nano Technologies     Open Access  
Mathématiques et sciences humaines     Open Access   (Followers: 6)
Mathematische Annalen     Hybrid Journal   (Followers: 1)
Mathematische Nachrichten     Hybrid Journal   (Followers: 1)
Mathematische Semesterberichte     Hybrid Journal  
Mathematische Zeitschrift     Hybrid Journal   (Followers: 1)
MathLAB Journal     Open Access   (Followers: 5)
MATICS     Open Access   (Followers: 2)
Matrix Science Mathematic     Open Access   (Followers: 1)
Measurement Science Review     Open Access   (Followers: 3)
Mediterranean Journal of Mathematics     Hybrid Journal  
Memetic Computing     Hybrid Journal  
Mendel : Soft Computing Journal     Open Access  
Metaheuristics     Hybrid Journal  
Metals and Materials International     Hybrid Journal  
Metascience     Hybrid Journal   (Followers: 1)
Metrology and Instruments / Метрологія та прилади     Open Access   (Followers: 1)
Milan Journal of Mathematics     Hybrid Journal  
Mitteilungen der DMV     Hybrid Journal  
MLQ- Mathematical Logic Quarterly     Hybrid Journal   (Followers: 1)
MONA : Matematik- og Naturfagsdidaktik     Hybrid Journal   (Followers: 4)
Monatshefte fur Mathematik     Hybrid Journal  
Moroccan Journal of Pure and Applied Analysis     Open Access   (Followers: 4)
Moscow University Mathematics Bulletin     Hybrid Journal  
MSOR Connections     Open Access   (Followers: 1)
Multiscale Modeling and Simulation     Hybrid Journal   (Followers: 3)
MUST : Journal of Mathematics Education, Science and Technology     Open Access   (Followers: 3)
Nagoya Mathematical Journal     Hybrid Journal  
Nano Research     Hybrid Journal   (Followers: 4)
Nanotechnologies in Russia     Hybrid Journal   (Followers: 1)
Natural Resource Modeling     Hybrid Journal   (Followers: 1)
New Mathematics and Natural Computation     Hybrid Journal  
Nonlinear Analysis : Modelling and Control     Open Access   (Followers: 1)
Nonlinear Analysis : Theory, Methods & Applications     Hybrid Journal   (Followers: 1)
Nonlinear Analysis: Hybrid Systems     Hybrid Journal  
Nonlinear Analysis: Real World Applications     Hybrid Journal   (Followers: 2)
Nonlinear Differential Equations and Applications NoDEA     Hybrid Journal  
Nonlinear Engineering     Open Access  
Nonlinear Oscillations     Hybrid Journal   (Followers: 1)
North Carolina Journal of Mathematics and Statistics     Open Access  

  First | 1 2 3 4 5     

Similar Journals
Journal Cover
Journal of Topology and Analysis
Journal Prestige (SJR): 1.546
Citation Impact (citeScore): 1
Number of Followers: 0  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1793-5253 - ISSN (Online) 1793-7167
Published by World Scientific Homepage  [119 journals]
  • Author index Volume 12

    • Free pre-print version: Loading...

      Pages: 1223 - 1224
      Abstract: Journal of Topology and Analysis, Volume 12, Issue 04, Page 1223-1224, December 2020.

      Citation: Journal of Topology and Analysis
      PubDate: 2020-08-19T07:00:00Z
      DOI: 10.1142/S1793525320990010
      Issue No: Vol. 12, No. 04 (2020)
       
  • Generating the twist subgroup by involutions

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      Authors: Tüli̇n Altunöz, Mehmetci̇k Pamuk, Oguz Yildiz
      Pages: 1 - 24
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      For a nonorientable surface, the twist subgroup is an index [math] subgroup of the mapping class group generated by Dehn twists about two-sided simple closed curves. In this paper, we consider involution generators of the twist subgroup and give generating sets of involutions with smaller number of generators than the ones known in the literature using new techniques for finding involution generators.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-10-19T07:00:00Z
      DOI: 10.1142/S1793525321500023
       
  • Relative hyperbolicity for automorphisms of free products and free groups

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      Authors: François Dahmani, Ruoyu Li
      Pages: 1 - 38
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      We prove that for a free product [math] with free factor system [math], any automorphism [math] preserving [math], atoroidal (in a sense relative to [math]) and none of whose power send two different conjugates of subgroups in [math] on conjugates of themselves by the same element, gives rise to a semidirect product [math] that is relatively hyperbolic with respect to suspensions of groups in [math]. We recover a theorem of Gautero–Lustig and Ghosh that, if [math] is a free group, [math] an automorphism of [math], and [math] is its family of polynomially growing subgroups, then the semidirect product by [math] is relatively hyperbolic with respect to the suspensions of these subgroups. We apply the first result to the conjugacy problem for certain automorphisms (atoroidal and toral) of free products of abelian groups.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-10-06T07:00:00Z
      DOI: 10.1142/S1793525321500011
       
  • The KO-valued spectral flow for skew-adjoint Fredholm operators

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      Authors: Chris Bourne, Alan L. Carey, Matthias Lesch, Adam Rennie
      Pages: 1 - 52
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      In this paper, we give a comprehensive treatment of a “Clifford module flow” along paths in the skew-adjoint Fredholm operators on a real Hilbert space that takes values in [math] via the Clifford index of Atiyah–Bott–Shapiro. We develop its properties for both bounded and unbounded skew-adjoint operators including an axiomatic characterization. Our constructions and approach are motivated by the principle that spectral flow = Fredholm index. That is, we show how the KO-valued spectral flow relates to a KO-valued index by proving a Robbin–Salamon type result. The Kasparov product is also used to establish a [math] result at the level of bivariant K-theory. We explain how our results incorporate previous applications of [math]-valued spectral flow in the study of topological phases of matter.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-09-03T07:00:00Z
      DOI: 10.1142/S1793525320500557
       
  • Metric Thickenings and Group Actions

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      Authors: Henry Adams, Mark Heim, Chris Peterson
      Pages: 1 - 27
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      Let [math] be a group acting properly and by isometries on a metric space [math]; it follows that the quotient or orbit space [math] is also a metric space. We study the Vietoris–Rips and Čech complexes of [math]. Whereas (co)homology theories for metric spaces let the scale parameter of a Vietoris–Rips or Čech complex go to zero, and whereas geometric group theory requires the scale parameter to be sufficiently large, we instead consider intermediate scale parameters (neither tending to zero nor to infinity). As a particular case, we study the Vietoris–Rips and Čech thickenings of projective spaces at the first scale parameter where the homotopy type changes.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-09-03T07:00:00Z
      DOI: 10.1142/S1793525320500569
       
  • A Poisson transform adapted to the Rumin complex

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      Authors: Andreas Čap, Christoph Harrach, Pierre Julg
      Pages: 1 - 39
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      Let [math] be a semisimple Lie group with finite center, [math] a maximal compact subgroup, and [math] a parabolic subgroup. Following ideas of P. Y. Gaillard, one may use [math]-invariant differential forms on [math] to construct [math]-equivariant Poisson transforms mapping differential forms on [math] to differential forms on [math]. Such invariant forms can be constructed using finite-dimensional representation theory. In this general setting, we first prove that the transforms that always produce harmonic forms are exactly those that descend from the de Rham complex on [math] to the associated Bernstein–Gelfand–Gelfand (or BGG) complex in a well defined sense. The main part of this paper is devoted to an explicit construction of such transforms with additional favorable properties in the case that [math]. Thus, [math] is [math] with its natural CR structure and the relevant BGG complex is the Rumin complex, while [math] is complex hyperbolic space of complex dimension [math]. The construction is carried out both for complex and for real differential forms and the compatibility of the transforms with the natural operators that are available on their sources and targets are analyzed in detail.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-08-28T07:00:00Z
      DOI: 10.1142/S1793525320500570
       
  • Almost flat relative vector bundles and the almost monodromy
           correspondence

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      Authors: Yosuke Kubota
      Pages: 1 - 30
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      In this paper, we introduce the notion of almost flatness for (stably) relative bundles on a pair of topological spaces and investigate basic properties of it. First, we show that almost flatness of topological and smooth sense are equivalent. This provides a construction of an almost flat stably relative bundle on enlargeable manifolds. Second, we show the almost monodromy correspondence, that is, a correspondence between almost flat (stably) relative bundles and (stably) relative quasi-representations of the fundamental group.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-08-18T07:00:00Z
      DOI: 10.1142/S1793525320500545
       
  • A few remarks on invariable generation in infinite groups

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      Authors: Gil Goffer, Gennady A. Noskov
      Pages: 1 - 22
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      A subset [math] of a group [math] invariably generates [math] if [math] is generated by [math] for any choice of [math]. A topological group [math] is said to be [math] if it is invariably generated by some subset [math], and [math] if it is topologically invariably generated by some subset [math]. In this paper, we study the problem of (topological) invariable generation for linear groups and for automorphism groups of trees. Our main results show that the Lie group [math] and the automorphism group of a regular tree are [math], and that the groups [math] are not [math] for countable fields of infinite transcendence degree over a prime field.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-07-21T07:00:00Z
      DOI: 10.1142/S1793525320500508
       
  • Countable approximation of topological [math]-manifolds, II: linear Lie
           groups [math]

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      Authors: Qayum Khan
      Pages: 1 - 9
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      Let [math] be a matrix group. Topological [math]-manifolds with Palais-proper action have the [math]-homotopy type of countable [math]-CW complexes (3.2). This generalizes Elfving’s dissertation theorem for locally linear [math]-manifolds (1996). Also, we improve the Bredon–Floyd theorem from compact Lie groups [math] to arbitrary Lie groups [math].
      Citation: Journal of Topology and Analysis
      PubDate: 2020-07-20T07:00:00Z
      DOI: 10.1142/S179352532050051X
       
  • Amenable covers and [math]-invisibility

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      Authors: R. Frigerio
      Pages: 1 - 17
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      Let [math] be a topological space admitting an amenable cover of multiplicity [math]. We show that, for every [math] and every [math], the image of [math] in the [math]-homology module [math] vanishes. This strengthens previous results by Gromov and Ivanov, who proved, under the same assumptions, that the [math]-seminorm of [math] vanishes.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-07-20T07:00:00Z
      DOI: 10.1142/S1793525320500521
       
  • Separating subgroups of mapping class groups in homological
           representations

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      Authors: Asaf Hadari
      Pages: 1 - 15
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      Let [math] be either the mapping class group of a closed surface of genus [math], or the automorphism group of a free group of rank [math]. Given any homological representation [math] of [math] corresponding to a finite cover, and any term [math] of the Johnson filtration, we show that [math] has finite index in [math], the Torelli subgroup of [math]. Since [math] for [math], this implies for instance that no such representation is faithful.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-07-06T07:00:00Z
      DOI: 10.1142/S1793525320500533
       
  • Projectively equivalent Finsler metrics on surfaces of negative Euler
           characteristic

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      Authors: Julius Lang
      Pages: 1 - 10
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      We prove that on a surface of negative Euler characteristic, two real-analytic Finsler metrics have the same unparametrized oriented geodesics, if and only if they differ by a scaling constant and addition of a closed 1-form.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-06-19T07:00:00Z
      DOI: 10.1142/S1793525320500491
       
  • Symplectic Banach–Mazur distances between subsets of [math]

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      Authors: Michael Usher
      Pages: 1 - 56
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      Following proposals of Ostrover and Polterovich, we introduce and study “coarse” and “fine” versions of a symplectic Banach–Mazur distance on certain open subsets of [math] and other open Liouville domains. The coarse version declares two such domains to be close to each other if each domain admits a Liouville embedding into a slight dilate of the other; the fine version, which is similar to the distance on subsets of cotangent bundles of surfaces recently studied by Stojisavljević and Zhang, imposes an additional requirement on the images of these embeddings that is motivated by the definition of the classical Banach–Mazur distance on convex bodies. Our first main result is that the coarse and fine distances are quite different from each other, in that there are sequences that converge coarsely to an ellipsoid but diverge to infinity with respect to the fine distance. Our other main result is that, with respect to the fine distance, the space of star-shaped domains in [math] admits quasi-isometric embeddings of [math] for every finite dimension [math]. Our constructions are obtained from a general method of constructing [math]-dimensional Liouville domains whose boundaries have Reeb dynamics determined by certain autonomous Hamiltonian flows on a given [math]-dimensional Liouville domain. The bounds underlying our main results are proven using filtered equivariant symplectic homology via methods from [J. Gutt and M. Usher, Symplectically knotted codimension-zero embeddings between domains in [math], Duke Math. J. 168 (2019) 2299–2363].
      Citation: Journal of Topology and Analysis
      PubDate: 2020-04-18T07:00:00Z
      DOI: 10.1142/S179352532050048X
       
  • A combinatorial model for the Menger curve

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      Authors: Aristotelis Panagiotopoulos, Sławomir Solecki
      Pages: 1 - 27
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      We represent the universal Menger curve as the topological realization [math] of the projective Fraïssé limit [math] of the class of all finite connected graphs. We show that [math] satisfies combinatorial analogues of the Mayer–Oversteegen–Tymchatyn homogeneity theorem and the Anderson–Wilson projective universality theorem. Our arguments involve only [math]-dimensional topology and constructions on finite graphs. Using the topological realization [math], we transfer some of these properties to the Menger curve: we prove the approximate projective homogeneity theorem, recover Anderson’s finite homogeneity theorem, and prove a variant of Anderson–Wilson’s theorem. The finite homogeneity theorem is the first instance of an “injective” homogeneity theorem being proved using the projective Fraïssé method. We indicate how our approach to the Menger curve may extend to higher dimensions.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-03-16T07:00:00Z
      DOI: 10.1142/S1793525320500478
       
  • The Kasparov product on submersions of open manifolds

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      Authors: Koen van den Dungen
      Pages: 1 - 35
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      We study the Kasparov product on (possibly non-compact and incomplete) Riemannian manifolds. Specifically, we show on a submersion of Riemannian manifolds that the tensor sum of a regular vertically elliptic operator on the total space and an elliptic operator on the base space represents the Kasparov product of the corresponding classes in [math]-theory. This construction works in general for symmetric operators (i.e. without assuming self-adjointness), and extends known results for submersions with compact fibers. The assumption of regularity for the vertically elliptic operator is not always satisfied, but depends on the topology and geometry of the submersion, and we give explicit examples of non-regular operators. We apply our main result to obtain a factorization in unbounded [math]-theory of the fundamental class of a Riemannian submersion, as a Kasparov product of the shriek map of the submersion and the fundamental class of the base manifold.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-02-19T08:00:00Z
      DOI: 10.1142/S1793525320500454
       
  • The classification of certain ASH C*-algebras of real rank zero

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      Authors: Qingnan An, George A. Elliott, Zhiqiang Li, Zhichao Liu
      Pages: 1 - 20
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      In this paper, using ordered total K-theory, we give a K-theoretic classification for the real rank zero inductive limits of direct sums of generalized dimension drop interval algebras.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-02-18T08:00:00Z
      DOI: 10.1142/S1793525320500466
       
  • Some spherical functions on hyperbolic groups

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      Authors: Adrien Boyer
      Pages: 1 - 50
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      We investigate properties of some spherical functions defined on hyperbolic groups using boundary representations on the Gromov boundary endowed with the Patterson–Sullivan measure class. We prove sharp decay estimates for spherical functions as well as spectral inequalities associated with boundary representations. This point of view on the boundary allows us to view the so-called property RD (also called Haagerup’s inequality) as a particular case of a more general behavior of spherical functions on hyperbolic groups. We also prove that the family of boundary representations studied in this paper, which can be regarded as a one parameter deformation of the boundary unitary representation, are slow growth representations acting on a Hilbert space admitting a proper 1-cocycle.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-01-28T08:00:00Z
      DOI: 10.1142/S1793525320500429
       
  • Double points in families of map germs from [math] to [math]

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      Authors: J. A. Moya-Pérez, J. J. Nuño-Ballesteros
      Pages: 1 - 18
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      We show that a 1-parameter family of real analytic map germs [math] with isolated instability is topologically trivial if it is excellent and the family of double point curves [math] in [math] is topologically trivial. In particular, we deduce that [math] is topologically trivial when the Milnor number [math] is constant.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-01-28T08:00:00Z
      DOI: 10.1142/S1793525320500430
       
  • Straightening warped cones

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      Authors: Damian Sawicki, Jianchao Wu
      Pages: 1 - 25
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      We provide the converses to two results of Roe [Warped cones and property A, Geom. Topol. 9 (2005) 163–178, https://doi.org/10.2140/9t.2005.9.163]: first, the warped cone associated to a free action of an a-T-menable group admits a fibered coarse embedding into a Hilbert space, and second, a free action yielding a warped cone with property A must be amenable. We construct examples showing that in both cases the freeness assumption is necessary. The first equivalence is obtained also for other classes of Banach spaces, in particular for [math]-spaces.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-01-15T08:00:00Z
      DOI: 10.1142/S179352532050034X
       
  • The kernel of the monodromy of the universal family of degree [math]
           smooth plane curves

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      Authors: Reid Monroe Harris
      Pages: 1 - 15
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      We consider the parameter space [math] of smooth plane curves of degree [math]. The universal smooth plane curve of degree [math] is a fiber bundle [math] with fiber diffeomorphic to a surface [math]. This bundle gives rise to a monodromy homomorphism [math], where [math] is the mapping class group of [math]. The main result of this paper is that the kernel of [math] is isomorphic to [math], where [math] is a free group of countably infinite rank. In the process of proving this theorem, we show that the complement [math] of the hyperelliptic locus [math] in Teichmüller space [math] has the homotopy type of an infinite wedge of spheres. As a corollary, we obtain that the moduli space of plane quartic curves is aspherical. The proofs use results from the Weil–Petersson geometry of Teichmüller space together with results from algebraic geometry.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-01-15T08:00:00Z
      DOI: 10.1142/S1793525320500375
       
  • Cohomology groups invariant under continuous orbit equivalence

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      Authors: Yongle Jiang
      Pages: 1 - 35
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      By the work of Brodzki–Niblo–Nowak–Wright and Monod, topological amenability of a continuous group action can be characterized using uniformly finite homology groups or bounded cohomology groups associated to this action. We show that (certain variations of) these groups are invariants for topologically free actions under continuous orbit equivalence.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-01-08T08:00:00Z
      DOI: 10.1142/S1793525320500405
       
  • Separation profiles of graphs of fractals

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      Authors: Valeriia Gladkova, Verna Shum
      Pages: 1 - 13
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      We continue the exploration of the relationship between conformal dimension and the separation profile by computing the separation of families of spheres in hyperbolic graphs whose boundaries are standard Sierpiński carpets and Menger sponges. In all cases, we show that the separation of these spheres is [math] for some [math] which is strictly smaller than the conformal dimension, in contrast to the case of rank 1 symmetric spaces of dimension [math]. The value of [math] obtained naturally corresponds to a previously known lower bound on the conformal dimension of the associated fractal.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-01-07T08:00:00Z
      DOI: 10.1142/S1793525320500417
       
  • Graph approximations to the Laplacian spectra

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      Authors: Jinpeng Lu
      Pages: 1 - 35
      Abstract: Journal of Topology and Analysis, Ahead of Print.
      I prove that the spectrum of the Laplace–Beltrami operator with the Neumann boundary condition on a compact Riemannian manifold with boundary admits a fast approximation by the spectra of suitable graph Laplacians on proximity graphs on the manifold, and similar graph approximation works for metric-measure spaces glued out of compact Riemannian manifolds of the same dimension.
      Citation: Journal of Topology and Analysis
      PubDate: 2020-01-07T08:00:00Z
      DOI: 10.1142/S1793525320500442
       
 
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