- 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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