Results 11 to 20 of about 16,588 (195)
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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European Journal of Combinatorics, 2019 We present an algorithm that, given a channel, determines if there is a distance for it such that the maximum likelihood decoder coincides with the minimum distance decoder. We also show that any metric, up to a decoding equivalence, can be isometrically embedded into the hypercube with the Hamming metric, and thus, in terms of decoding, the Hamming ...
D'Oliveira, Rafael G. L., Firer, Marcelo
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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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Some Metrization Theorems [PDF]
Proceedings of the American Mathematical Society, 1976 We prove, using H. W. Martin’s result on metrizable symmetric spaces and a symmetric of P. W. Harley III’s construction, a theorem which is slightly stronger than a recent theorem of Nagata.
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On the weak and pointwise topologies in function spaces [PDF]
, 2015 For a compact space $K$ we denote by $C_w(K)$ ($C_p(K)$) the space of continuous real-valued functions on $K$ endowed with the weak (pointwise) topology. In this paper we address the following basic question which seems to be open: Suppose that $K$ is an
Krupski, Mikołaj
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Proceedings of the American Mathematical Society, 1966 A. characterization of metrizable topological spaces in terms of subtopologies is given. First, several terms are defined in order to describe the pertinent subtopologies. Then, the characterization is readily established as a result of a metrization theorem due to Bing [l ] and a metrization theorem due to Ceder [2]. Definition 1.
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Non-Abelian Pseudocompact Groups
Axioms, 2016 Here are three recently-established theorems from the literature. (A) (2006) Every non-metrizable compact abelian group K has 2|K| -many proper dense pseudocompact subgroups.
W. W. Comfort, Dieter Remus
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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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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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Concerning nearly metrizable spaces
Applied General Topology, 2013 The purpose of this paper is to introduce the notion of near metrizability for topological spaces, which is strictly weaker than the concept of metrizability.
M. N. Mukherjee, Dhananjoy Mandal
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