2018•Journal of Global Research in Mathematical Archives(JGRMA)Requires access

On Closure Operators in Nano Topological Space

M Bhuvaneswari Murugesh

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Abstract

The objective of this paper is to introduce Nwg-interior and Nwg-closure of a set in Nano topological spaces and investigate some of its topological properties.  Also a comparative study has been made with other existing closure and interior operators with suitable examples. Further, various characteristics of  Nwg-continuous function and Nwg-closed maps  are discussed using Nwg-closure and Nwg-interior.

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What this paper is about

The objective of this paper is to introduce Nwg-interior and Nwg-closure of a set in Nano topological spaces and investigate some of its topological properties.  Also a comparative study has been made with other existing closure and interior operators with suitable examples. Further, various characteristics of  Nwg-continuous function and Nwg-closed maps  are discussed using Nwg-closure and Nwg-interior.

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Available abstract

The objective of this paper is to introduce Nwg-interior and Nwg-closure of a set in Nano topological spaces and investigate some of its topological properties.  Also a comparative study has been made with other existing closure and interior operators with suitable examples. Further, various characteristics of  Nwg-continuous function and Nwg-closed maps  are discussed using Nwg-closure and Nwg-interior.

Key concepts: Closure (psychology), Topological space, Mathematics, Topology (electrical circuits), Topological vector space, Closed set, Function space, Space (punctuation)

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