Let (X.U) be a quasi-uniform space and M, its Hausdorff quasi-uniformity defined on the collection PO(X) of all nonempty subsets of X. We show that (PO(X). U,) is compact if and only if (X.U) is compact and (X,,U-'IX,,) is hereditarily precompact where X,,, = {y E X: y is minimal in the (specializa
Quasi-coincidence and quasi-fuzzy Hausdorff
✍ Scribed by Wesley Kotzé
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 290 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
The concept of quasi-coincidence of a fuzzy point to a fuzzy set is investigated. The notion of a quasi-fuzzy Hausdorff topological space is introduced and its close relationship with the properties of fuzzy Hausdorff and Hausdorf is shown.
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