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- Title
The nonstandard characterization of finite covering property in fuzzy topological spaces.
- Authors
Yan-wei, SHI; Chun-hui, MA
- Abstract
ln nonstandard enlarged model, the nonstandard characterization of finite covering property is discussed in fuzzy topological spaces. Firstly, fuzzy sets are extended to nonstandard fuzzy sets, and the monad of fuzzy point is defined. Then, the nonstandard characterization of finite covering property is obtained by the monad, and the finite covering spaces are nonstandard characterized. Finally, Tychonoffproducts theorem of finite covering spacess is proved by these nonstandard characterizations.
- Subjects
NONSTANDARD mathematical analysis; FUZZY topology; TOPOLOGICAL spaces; FUZZY sets; MATHEMATICAL proofs
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2012, Vol 25, Issue 3, p324
- ISSN
1006-8341
- Publication type
Article