Results 31 to 40 of about 126,975 (166)
On generalization of homotopy axiom
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 In [S. Kermit, Proc. Amer. Math. Soc., 1972, 31(1):271-275] it was proven that if G is compact topological group or field then in the homotopy axiom for Alexander-Spanier-Kolmogoroff cohomology the parameter segment [0;1] can be replaced by any compact ...
Umed Karimov
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Compactness in Metric Spaces [PDF]
Formalized Mathematics, 2016 Summary In this article, we mainly formalize in Mizar [2] the equivalence among a few compactness definitions of metric spaces, norm spaces, and the real line. In the first section, we formalized general topological properties of metric spaces.
Nakasho, Kazuhisa +2 more
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Vietoris topology on spaces dominated by second countable ones
Open Mathematics, 2015 For a given space X let C(X) be the family of all compact subsets of X. A space X is dominated by a space M if X has an M-ordered compact cover, this means that there exists a family F = {FK : K ∈ C(M)} ⊂ C(X) such that ∪ F = X and K ⊂ L implies that FK ⊂
Islas Carlos, Jardon Daniel
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Properties of Fuzzy Compact Linear Operators on Fuzzy Normed Spaces
مجلة بغداد للعلوم, 2019 In this paper the definition of fuzzy normed space is recalled and its basic properties. Then the definition of fuzzy compact operator from fuzzy normed space into another fuzzy normed space is introduced after that the proof of an operator is fuzzy ...
Kider et al.
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When is an ultracomplete space almost locally compact?
Applied General Topology, 2006 We study spaces X which have a countable outer base in βX; they are called ultracomplete in the most recent terminology. Ultracompleteness implies Cech-completeness and is implied by almost local compactness (≡having all points of non-local compactness ...
Daniel Jardón Arcos +1 more
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Wasit Journal for Pure SciencesThe object of this work to introduce a new form of fuzzy compact space in a fuzzy topological space, named by fuzzy feebly compact space. It is stronger than a fuzzy compact space.
Saad Mahdi Jaber
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International Journal of Mathematics and Mathematical Sciences, 2001 We introduce the class of countably I‐compact spaces as a proper subclass of countably S‐closed spaces. A topological space (X, T) is called countably I‐compact if every countable cover of X by regular closed subsets contains a finite subfamily whose interiors cover X.
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Some remarks on bv(s)-metric spaces and fixed point results with an application
Nonlinear Analysis, 2020 We compare the newly defined bv(s)-metric spaces with several other abstract spaces like metric spaces, b-metric spaces and show that some well-known results, which hold in the latter class of spaces, may not hold in bv(s)-metric spaces.
Hiranmoy Garai +3 more
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The Entropy of Co-Compact Open Covers
Entropy, 2013 Co-compact entropy is introduced as an invariant of topological conjugation for perfect mappings defined on any Hausdorff space (compactness and metrizability are not necessarily required).
Steven Bourquin +4 more
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Perfect maps in compact (countably compact) spaces
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper, among other results, characterizations of perfect maps in compact Hausdorff(Fréchet, countably compact, Hausdorff) spaces are obtained.
G. L. Garg, Asha Goel
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