Comparison of different notions of compactness in the fuzzy topological space

Title: Comparison of different notions of compactness in the fuzzy topological space
Creator: Morapeli, E Z
ThesisAdvisor: Kotzé, Wesley
Subject: Fuzzy mathematics Fuzzy topology
Date: 1989
Type: Thesis
Type: Masters
Type: MSc
Identifier: vital:5393
Identifier: http://hdl.handle.net/10962/d1001982
Description: Various notions of compactness in a fuzzy topological space have been introduced by different authors. The aim of this thesis is to compare them. We find that in a T₂ space (in the sense that no fuzzy net converges to two fuzzy points with different supports) all these notions are equivalent for the whole space. Furthermore, for N-compactness and f-compactness (being the only notions that are defined for an arbitrary fuzzy subset) we have equivalence under a stronger condition, namely, a T₂ space in the sense that every prime prefilter has an adherence that is non-zero in at most one point
Format: 114 leaves, pdf
Publisher: Rhodes University, Faculty of Science, Mathematics
Language: English
Rights: Morapeli, E Z

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RU Department of Mathematics (Pure and Applied)

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