Mathematical Theory and Modeling
Separation Axioms via α^m-Kernel Set associated with α^m-Closed Set
Abstract
In this paper, we introduce a new class of sets called -kernel set and study their basic properties in topological spaces. We introduce and investigate some separation axioms by using -kernel set and the -closed set. Further, we also introduce topological - -space.
Mathematics Subject Classification (2010): 54A05, 54C10, 54D10, 54D15.
Keywords: -closed set, -kernel set, - -space, and - -space, .
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ISSN (Paper)2224-5804 ISSN (Online)2225-0522
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