Results 161 to 170 of about 16,588 (195)
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Canadian Mathematical Bulletin, 1984
AbstractK. Kunugi introduced the notion of ranked space as a generalization of that of metric spaces, (see [6]). In this note we define a metrizability of ranked spaces and study conditions under which a ranked space is metrizable.
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AbstractK. Kunugi introduced the notion of ranked space as a generalization of that of metric spaces, (see [6]). In this note we define a metrizability of ranked spaces and study conditions under which a ranked space is metrizable.
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Remainders of metrizable and close to metrizable spaces
Fundamenta Mathematicae, 2013exaly +2 more sources
Mathematical Logic Quarterly, 2007
AbstractEvery second‐countable regular topological space X is metrizable. For a given “computable” topological space satisfying an axiom of computable regularity M. Schröder [10] has constructed a computable metric. In this article we study whether this metric space (X, d) can be considered computationally as a subspace of some computable metric space [
Tanja Grubba +2 more
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AbstractEvery second‐countable regular topological space X is metrizable. For a given “computable” topological space satisfying an axiom of computable regularity M. Schröder [10] has constructed a computable metric. In this article we study whether this metric space (X, d) can be considered computationally as a subspace of some computable metric space [
Tanja Grubba +2 more
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Metrizable Barrelled Countable Enlargements
Bulletin of the London Mathematical Society, 1999Summary: In 1980 \textit{W. J. Robertson}, \textit{I. Tweddle} and \textit{F. E. Yeomans} [Bull. Austr. Math. Soc. 22, 99-112 (1980; Zbl 0428.46004)] solved the metrizable BCE problem in certain special cases, for example, in the normable case under assumption of the Continuum Hypothesis (CH).
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Annals of the New York Academy of Sciences, 1993
ABSTRACTThis paper provides a brief, nontraditional introduction to the historically important metrization theorems from 1910 to 1951. The intent is to show an evolution of ideas that lead to proofs for these results and that demonstrate how these theorems develop as a common thread.
S. D. SHORE, LAURIE J. SAWYER
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ABSTRACTThis paper provides a brief, nontraditional introduction to the historically important metrization theorems from 1910 to 1951. The intent is to show an evolution of ideas that lead to proofs for these results and that demonstrate how these theorems develop as a common thread.
S. D. SHORE, LAURIE J. SAWYER
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Annals of Pure and Applied Logic
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mathematics of the USSR-Izvestiya, 1980
In this paper the author studies spaces in which one can define a "distance" from points to canonically closed sets (the -metric). It is proved that products of metric spaces and locally compact groups are examples of such spaces, and in these cases the -metric can be constructed so that an analogue of the triangle axiom is satisfied.
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In this paper the author studies spaces in which one can define a "distance" from points to canonically closed sets (the -metric). It is proved that products of metric spaces and locally compact groups are examples of such spaces, and in these cases the -metric can be constructed so that an analogue of the triangle axiom is satisfied.
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Several results on compact metrizable spaces in $$\mathbf {ZF}$$
Monatshefte Fur Mathematik, 2021Kyriakos Keremedis +2 more
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k*-Metrizable spaces and their applications
Journal of Mathematical Sciences, 2008Vladimir I Bogachev
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