Results 21 to 30 of about 15,159 (191)
Metrizable space of multivalued maps
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021 In this article we define a metrizable space of multivalued maps. We show that the metric defined in this space is closely related to the homotopy of multivalued maps.
Mirosław Ślosarski
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The character of free topological groups II
Applied General Topology, 2005 A systematic analysis is made of the character of the free and free abelian topological groups on metrizable spaces and compact spaces, and on certain other closely related spaces.
Peter Nickolas, Mikhail Tkachenko
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Reconstructing compact metrizable spaces
Proceedings of the American Mathematical Society, 2016 15 pages, 2 ...
Gartside, P, Pitz, M, Suabedissen, R
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On the $C_k$-stable closure of the class of (separable) metrizable spaces
, 2015 Denote by $\mathbf C_k[\mathfrak M]$ the $C_k$-stable closure of the class $\mathfrak M$ of all metrizable spaces, i.e., $\mathbf C_k[\mathfrak M]$ is the smallest class of topological spaces that contains $\mathfrak M$ and is closed under taking ...
Banakh, Taras, Gabriyelyan, Saak
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The D-Property of Finite Unions of t-Metrizable Spaces and Certain Function Spaces
Journal of Function Spaces and Applications, 2013 The additivity of D-property is studied on t-metrizable spaces and certain function spaces. It is shown that a space of countable tightness is a D-space provided that it is the union of finitely many t-metrizable subspaces, or function spaces Cp(Xi ...
Xin Zhang, Hongfeng Guo
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On the Intuitionistic fuzzy topological (metric and normed) spaces
, 2005 In this paper, we define precompact set in intuitionistic fuzzy metric spaces and prove that any subset of an intuitionistic fuzzy metric space is compact if and only if it is precompact and complete.
Amini +22 more
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Almost convex metrics and Peano compactifications
International Journal of Mathematics and Mathematical Sciences, 1982 Let (X,d) denote a locally connected, connected separable metric space. We say the X is S-metrizable provided there is a topologically equivalent metric ρ on X such that (X,ρ) has Property S, i.e., for any ϵ>0, X is the union of finitely many connected ...
R. F. Dickman
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On approximation of mappings with values in the space of continuous functions
Karpatsʹkì Matematičnì Publìkacìï, 2013 Using a theorem on the approximation of the identity in the Banach space $C_u(Y)$ of all continuous functions $g:Y\rightarrow \mathbb{R}$, defined on a metrizable compact $Y$ with the uniform norm, we prove that for a topological space $X$, a ...
H. A. Voloshyn +2 more
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Spaces of measurable functions
, 2011 For a metrizable space $X$ and a finite measure space $(\Omega,\mathfrak{M},\mu)$ let $M_{\mu}(X)$ and $M^f_{\mu}(X)$ be the spaces of all equivalence classes (under the relation of equality almost everywhere mod $\mu$) of $mathfrak{M}$-measurable ...
Niemiec, Piotr
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Forum of Mathematics, SigmaWe introduce the notion of echeloned spaces – an order-theoretic abstraction of metric spaces. The first step is to characterize metrizable echeloned spaces. It turns out that morphisms between metrizable echeloned spaces are uniformly continuous or have
Maxime Gheysens +4 more
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