Results 81 to 90 of about 15,159 (191)
Topology and its Applications, 1983 AbstractA Hausdorff space each subspace of which is a paracompact p-space is an Fpp-space. A space X is a closed hereditary Baire space if each closed subspace of X is a Baire space. Using a delicate theorem of Z. Balogh it is shown that a first-countable Fpp-space that is a closed hereditary Baire space is metrizable.
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, 2021 METRIZABLE TOPOLOGICAL SPACE and its underlying definitions are presented in this white paper (knowledge base).
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Covering properties for LQ𝒰s with nested bases
International Journal of Mathematics and Mathematical Sciences, 2001 This paper deals with problems on LQ𝒰 spaces which have a nested base; among others we give conditions so that a space (X,τ1,τ2) admits an LQ𝒰𝒰 which generates τ1 and 𝒰−1τ2, and give necessary and sufficient conditions for a space to be quasi-metrizable,
A. Andrikopoulos, J. N. Stabakis
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Metrization of idempotent semiring of topological rings
Applied General TopologyIn this paper, we have introduced natural H+ - pseudovaluation and H+ -norm on a completely regular semiring making it a topological completely regular (algebraic) semiring and established some necessary and sufficient conditions of metrizability of a ...
Sunil Kumar Maity, Gopal Adak
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Some Topological Properties of CbX
Journal of Function Spaces, 2014 If X is a completely regular space, first we characterize those spaces CbX whose compact sets are metrizable. Then we use this result to provide a general condition for X to ensure the metrizability of compact sets in CbX.
Juan Carlos Ferrando
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Cohomological Dimension and Metrizable Spaces [PDF]
Transactions of the American Mathematical Society, 1993 Since the days of M. F. Bockstein's classical paper one tries to establish for a given abelian group \(G\) a so-called Bockstein basis \(\sigma(G)\) consisting of groups of the form \(\mathbb{Q},\mathbb{Z}_ p,\mathbb{Z}/p,\mathbb{Z}/p^ \infty\). Having the property that \(\dim_ GX\) is determined by \(\dim_ H\) for \(H\in\sigma(G)\).
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К ВОПРОСУ О РАВНОМЕРНО СВЯЗНЫХ ПРОСТРАНСТВАХ
Проблемы анализа, 2014 It is given the necessary and sufficient condition that a uniformly connected metrizable space to be an absolute retract in this ...
МОИСЕЕВ Е.В.
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Entropy-Based Statistics and Their Applications. [PDF]
Entropy (Basel), 2023 Zhang Z.
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Trees and proto-metrizable spaces [PDF]
Pacific Journal of Mathematics, 1983 679-G2. Received February 14, 1978 and in revised form June 26, 1980. This paper is the author's doctoral dissertation at Auburn University prepared under the supervision of ...
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Diagonals of separately continuous maps with values in box products
Topological Algebra and its Applications, 2018 We prove that if X is a paracompact connected space and Z = ∏s∈S Zs is a product of a family of equiconnected metrizable spaces endowed with the box topology, then for every Baire-one map g : X → Z there exists a separately continuous map f : X2 → Z such
Karlova Olena, Mykhaylyuk Volodymyr
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