Results 71 to 80 of about 367,122 (181)
Local isometries of compact metric spaces [PDF]
Proceedings of the American Mathematical Society, 1982 By local isometries we mean mappings which locally preserve distances. A few of the main results are: 1. For each local isometry f f of a compact metric space ( M , ρ ) (M,\rho ) into itself there exists a unique decomposition of M M into disjoint open sets,
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Cohomology Theories on Compact and Locally Compact Spaces
Revista Matemática Iberoamericana, 1986 The aim of this paper is to give an expository account of the uniqueness theorem for cohomology theories on the category of locally compact Hausdorff spaces and proper continuous functions. The uniqueness theorem can be applied to give a proof of the known result that the Chern character induces an isomorphism K(X)\(\otimes {\mathbb{Q}}\cong \check H ...
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A compactification of locally compact spaces [PDF]
Proceedings of the American Mathematical Society, 1972 Every locally compact space X X has its topology determined by its 1-1 compact images and hence has a compactification ξ X \xi X obtained as the closure of the natural embedding of X X in the product of those images, just as the Stone-Čech compactification β X
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Topographic Gromov-Hausdorff quantum Hypertopology for Quantum Proper Metric Spaces
, 2014 We construct a topology on the class of pointed proper quantum metric spaces which generalizes the topology of the Gromov-Hausdorff distance on proper metric spaces, and the topology of the dual propinquity on Leibniz quantum compact metric spaces.
Latremoliere, Frederic
core
One-point extensions and local topological properties
, 2013 A space $Y$ is called an extension of a space $X$ if $Y$ contains $X$ as a dense subspace. An extension $Y$ of $X$ is called a one-point extension of $X$ if $Y\backslash X$ is a singleton. P.
Koushesh, M. R.
core
A locally Convex Topology on the Beurling Algebras
پژوهشهای ریاضی, 2019 Introduction Let G be a locally compact group with a fixed left Haar measure λ and be a weight function on G; that is a Borel measurable function with for all . We denote by the set of all measurable functions such that ; the group algebra of
Saeid Maghsoudi
doaj
The generalized homotopy axiom and its consistency with Alexandroff-Čech cohomology theory.
Pracì Mìžnarodnogo Geometričnogo CentruLet T be a connected compact metric space, r,s ∈ T be two points, and X be a locally compact paracompact space. We prove that the mappings φr, φs: X → X × T, defined by φt(x) = (x,t) for t=r, s ∈ T, induce the same homomorphisms of Alexandroff-Čech ...
Umed Karimov
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On the Dynamics of Abstract Retarded Evolution Equations
Abstract and Applied Analysis, 2013 This paper is concerned with the dynamics of the following abstract retarded evolution equation: in a Hilbert space , where is a self-adjoint positive-definite operator with compact resolvent and is a locally Lipschitz continuous mapping.
Desheng Li, Jinying Wei, Jintao Wang
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Harmonic functions on locally compact groups of polynomial growth
, 2018 We extend a theorem by Kleiner, stating that on a group with polynomial growth, the space of harmonic functions of polynomial of at most $k$ is finite dimensional, to the settings of locally compact groups equipped with measures with non-compact support.
Perl, Idan
core
$\omega$ -cover and related spaces on the vietoris hyperspace $\mathcal F(X)$
Tạp chí Khoa học và Công nghệRecently, Tuyen et al. [1] showed that a space has a $\sigma$-(P)-strong network consisting of cs-covers (resp., $cs^*$-covers) if and only if the hyperspace $\mathcal F(X)$ does, where is one of the following properties: point finite, point countable,
Nguyen Xuan Truc +3 more
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