On Ro and R1 Properties in Fuzzy Topological Spaces

Azam, S. M. Faqruddin Ali

dc.contributor.advisor	Ali, Dewan Muslim
dc.contributor.author	Azam, S. M. Faqruddin Ali
dc.date.accessioned	2022-09-27T05:11:15Z
dc.date.available	2022-09-27T05:11:15Z
dc.date.issued	2011
dc.identifier.uri	http://rulrepository.ru.ac.bd/handle/123456789/881
dc.description	This Thesis is Submitted to the Department of Mathematics, University of Rajshahi, Rajshahi, Bangladesh for The Degree of Master of Philosophy (MPhil)	en_US
dc.description.abstract	The goal of this thesis is to find out some new R1 -concepts for fuzzy topological spaces. Besides some concepts of fuzzy R0, R1, T0, T1, T2 and regular topological spaces that are already existing in the literature are recalled. In this work, twelve R1 -axioms of fuzzy R1 -topological spaces are introduced and studied in detail. Interrelations among various R1 concepts of fuzzy topological spaces are discussed. In analogy with the well-known topological properties, a complete answer is given with regard to all possible (R1 ^ T0 = T2) and (R1 ⇒ R0)-type implications for fuzzy topological spaces. It is also shown that, though a regular topological space is also a R1 -topological space, this is not true for fuzzy topological spaces.	en_US
dc.language.iso	en	en_US
dc.publisher	University of Rajshahi	en_US
dc.relation.ispartofseries	;D3315
dc.subject	Fuzzy Topological Spaces	en_US
dc.subject	Ro R1 Properties in Fuzzy Topological Spaces	en_US
dc.subject	Mathematics	en_US
dc.title	On Ro and R1 Properties in Fuzzy Topological Spaces	en_US
dc.type	Thesis	en_US