Probablistic convergence spaces and regularity

Autor:	P. Brock, D. C. Kent
Jazyk:	angličtina
Rok vydání:	1997
Předmět:	convergence space probabilistic convergence space t-norm T-regular space T-approachable space category. Mathematics QA1-939
Zdroj:	International Journal of Mathematics and Mathematical Sciences, Vol 20, Iss 4, Pp 637-646 (1997)
Druh dokumentu:	article
ISSN:	0161-1712 1687-0425 01611712
DOI:	10.1155/S0161171297000896
Popis:	The usual definition of regularity for convergence spaces can be characterized by a diagonal axiom R due to Cook and Fischer. The generalization of R to the realm of probabilistic convergence spaces depends on a t-norm T, and the resulting axiom RT defines T-regularity, which is the primary focus of this paper. We give several characterizations of T-regularity, both in general and for specific choices of T, and investigate some of its basic properties.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/3ddf71fbeceb4385a0fb98633b309ef8 Zobrazit plný text záznamu Plný text View record in DOAJ