Completely regular fuzzifying topological spaces

Autor: A. K. Katsaras
Jazyk: angličtina
Rok vydání: 2005
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 23, Pp 3781-3797 (2005)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
DOI: 10.1155/IJMMS.2005.3781
Popis: Some of the properties of the completely regular fuzzifying topological spaces are investigated. It is shown that a fuzzifying topology τ is completely regular if and only if it is induced by some fuzzy uniformity or equivalently by some fuzzifying proximity. Also, τ is completely regular if and only if it is generated by a family of probabilistic pseudometrics.
Databáze: Directory of Open Access Journals
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