(r*g*)* TO, T1 AND T2 AXIOMS IN TOPOLOGICAL SPACES
Journal: International Journal of Applied Mathematics & Statistical Sciences (IJAMSS) (Vol.6, No. 2)Publication Date: 2017-03-31
Authors : N. MEENAKUMARI; T. INDIRA;
Page : 11-18
Keywords : (r*g*)* Closed Sets; (r*g*)* Closure; (r*g*)*Continuous Maps; (r*g*)* Irresolute Maps; (r*g*)* Open Sets Mathematics Subject Classification: 54a05;
Abstract
N Levin [6] introduced the concept of generalized closed set in topological spaces. Since then many Topologist started defining different types of closed sets and utilized these concepts to the various notion of subsets and axioms. The Authors [11] have already introduced (r*g*)* closed set and investigated some of the properties. In this paper, using the concept of (r*g*)* closed set we introduce separation axioms like (r*g*)* To,(r*g*)* T1 and (r*g*)* T2 axioms and some of their properties are investigated.
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