Results 71 to 80 of about 1,198,947 (283)
On the Fuzzy Number Space with the Level Convergence Topology
Journal of Function Spaces and Applications, 2012 We characterize compact sets of 𝔼1 endowed with the level convergence topology τℓ. We also describe the completion (𝔼1̂,𝒰̂) of 𝔼1 with respect to its natural uniformity, that is, the pointwise uniformity 𝒰, and show other topological properties of 𝔼1 ...
J. J. Font, A. Miralles, M. Sanchis
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Lipschitz Chain Approximation of Metric Integral Currents
Analysis and Geometry in Metric Spaces, 2022 Every integral current in a locally compact metric space X can be approximated by a Lipschitz chain with respect to the normal mass, provided that Lipschitz maps into X can be extended slightly.
Goldhirsch Tommaso
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Topological properties of function spaces $C_k(X,2)$ over zero-dimensional metric spaces $X$ [PDF]
arXiv, 2015 Let $X$ be a zero-dimensional metric space and $X'$ its derived set. We prove the following assertions: (1) the space $C_k(X,2)$ is an Ascoli space iff $C_k(X,2)$ is $k_\mathbb{R}$-space iff either $X$ is locally compact or $X$ is not locally compact but $X'$ is compact, (2) $C_k(X,2)$ is a $k$-space iff either $X$ is a topological sum of a Polish ...
arxiv
On topological properties of compact attractors on Hausdorff spaces [PDF]
arXiv, 2023 We characterize when a compact, invariant, asymptotically stable attractor on a locally compact Hausdorff space is a strong deformation retract of its domain of attraction.
arxiv
Localization and compactness in Bergman and Fock spaces [PDF]
Indiana University Mathematics Journal, 2015 v4: 18 pages, New version incorporates several changes suggested by the referee, version accepted by the Indiana University Mathematics ...
Isralowitz, Joshua +2 more
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Quantum Locally Compact Metric Spaces [PDF]
Journal of Functional Analysis 264 (2013) 1, pp. 362--402, 2012 We introduce the notion of a quantum locally compact metric space, which is the noncommutative analogue of a locally compact metric space, and generalize to the nonunital setting the notion of quantum metric spaces introduced by Rieffel. We then provide several examples of such structures, including the Moyal plane, as well as compact quantum metric ...
arxiv
Diffusion on locally compact ultrametric spaces
Expositiones Mathematicae, 2004 AbstractWe consider an ultrametric space with sufficiently many isometries and we construct a class of diffusion processes on the space as appropriate limits of discrete processes on the (open and closed) balls of the space. We show, using a version of the Lévy Khintchine formula adapted to this general context, that our construction includes all ...
DEL MUTO M, FIGA' TALAMANCA, Alessandro
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Some Intersections of the Weighted -Spaces
Abstract and Applied Analysis, 2013 Let be a locally compact group an arbitrary family of the weight functions on and . The locally convex space as a subspace of is defined. Also, some sufficient conditions for that space to be a Banach space are provided.
F. Abtahi +3 more
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Localic completion of uniform spaces [PDF]
Logical Methods in Computer Science, 2017 We extend the notion of localic completion of generalised metric spaces by Steven Vickers to the setting of generalised uniform spaces. A generalised uniform space (gus) is a set X equipped with a family of generalised metrics on X, where a generalised ...
Tatsuji Kawai
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Solid-set functions and topological measures on locally compact spaces [PDF]
arXiv, 2019 A topological measure on a locally compact space is a set function on open and closed subsets which is finitely additive on the collection of open and compact sets, inner regular on open sets, and outer regular on closed sets. Almost all works devoted to topological measures, corresponding non-linear functionals, and their applications deal with ...
arxiv