Results 1 to 10 of about 15,159 (191)
Mathematics, 2020 Do the topologies of each dimension have to be same and metrizable for metricization of any space? I show that this is not necessary with monad metrizable spaces.
Orhan Göçür
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Applied General Topology, 2018 In [1], A. A. Borubaev introduced the concept of τ-metric space, where τ is an arbitrary cardinal number. The class of τ-metric spaces as τ runs through the cardinal numbers contains all ordinary metric spaces (for τ = 1) and thus these spaces are a ...
A.C. Megaritis
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The Niemytzki plane is $\varkappa$-metrizable [PDF]
Mathematica Bohemica, 2021 We prove that the Niemytzki plane is $\varkappa$-metrizable and we try to explain the differences between the concepts of a stratifiable space and a $\varkappa$-metrizable space.
Wojciech Bielas +2 more
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so-metrizable spaces and images of metric spaces
Open Mathematics, 2021 so-metrizable spaces are a class of important generalized metric spaces between metric spaces and snsn-metrizable spaces where a space is called an so-metrizable space if it has a σ\sigma -locally finite so-network.
Yang Songlin, Ge Xun
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𝜅-metrizable spaces, stratifiable spaces and metrization [PDF]
Proceedings of the American Mathematical Society, 1989 It is shown that every κ \kappa -metrizable CW-complex is metrizable. Examples are given showing that a stratifiable κ \kappa -metrizable space and an additively κ \kappa -metrizable space need not be metrizable.
Suzuki, J., Tamano, K., Tanaka, Y.
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On Radon Barycenters of Measures on Spaces of Measures
Известия Иркутского государственного университета: Серия "Математика", 2023 We study metrizability of compact sets in spaces of Radon measures with the weak topology. It is shown that if all compacta in a given completely regular topological space are metrizable, then every uniformly tight compact set in the space of Radon ...
V.I. Bogachev, S.N. Popova
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Metrizable quotients of C-spaces [PDF]
Topology and its Applications, 2018 The famous Rosenthal-Lacey theorem asserts that for each infinite compact set $K$ the Banach space $C(K)$ admits a quotient which is either a copy of $c$ or $\ell_{2}$. What is the case when the uniform topology of $C(K)$ is replaced by the pointwise topology?
Taras Banakh +2 more
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Metrizable and $\mathbb {R}$-metrizable betweenness spaces [PDF]
Proceedings of the American Mathematical Society, 1999 If \(d\) is a metric on a nonempty set \(A\) taking values in an ordered field then \((A,T_d)\), with \(T_d(x,y,z):\leftrightarrow d(x,y)+d(y,z)=d(x,z)\), will be called a metrizable betweenness space (MBS). If \(d\) takes values in \({\mathbb R}\), then \((A,T_d)\) is called an \({\mathbb R}\)-MBS.
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$��$-metrizable spaces and strongly $��$-metrizable spaces
, 2013 A space $X$ is said to be $ $-metrizable if it has a $ $-discrete $ $-base. In this paper, we mainly give affirmative answers for two questions about $ $-metrizable spaces. The main results are that: (1) A space $X$ is $ $-metrizable if and only if $X$ has a $ $-hereditarily closure-preserving $ $-base; (2) $X$ is $ $-metrizable if and only if $
Lin, Fucai, Lin, Shou
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Peano compactifications and property S metric spaces
International Journal of Mathematics and Mathematical Sciences, 1980 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.
R. F. Dickman
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