H(λ)-completely Hausdorff axiom on L-topological spaces
✍ Scribed by Jinming Fang
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 281 KB
- Volume
- 140
- Category
- Article
- ISSN
- 0165-0114
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✦ Synopsis
This paper deÿnes the new concept of completely Hausdor axiom of an L-topological space by means of L-continuous mappings from an L-topological space to the reÿned Hutton's unit L-interval by Wang. Some characterizations of the completely Hausdor axiom, deÿned in this paper, are given, and many nice properties of this kind of completely Hausdor axiom are proved. For example, it is hereditary and product invariant; the reÿned Hutton's unit L-interval satisfy this kind of completely Hausdor axiom, and when an L-topological space satisfy this kind of completely Hausdor axiom, every f-convergent ideal does not have f-limit points with di erent supports etc. The relation between the completely Hausdor axiom deÿned in the paper and other separation axioms is discussed also.