Abstract

The purpose of this paper is to extend the study of $NWg\#$-closed and $NWg\# $-open sets using properties of sets. Also introduce the notion of Nano Weakly $g\#- (NWg\#)$ irresolute functions and Nano Weakly $g\#-(NWg\#)$ homeomorphisms in Nano topological spaces and studied some of their basic characterizations. Also define the new sets such as $NWg\#$ kernel and $NWg\#$ surface by using $NWg\#$- open sets and $NWg\#$ - closed sets. The basic characterizations with nano interior and nano closure are discussed. Also Nano infimum and Nano supremum of sets are introduced using greatest lower bound and least upper bound properties.

Keywords and Phrases

$NWg\#ker, $ $NWg\#$ surf, $NWg\#$- continuous functions, $ NWg\#$ - irresolute functions, $NWg\#$- homeomorphisms.

A.M.S. subject classification

54C05.

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