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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (78), 2015/

A note on weak structures due to Császár

Authors: A. K. Das

Abstract

Weak structures has been introduced by Á. Császár and it has been shown that every generalized topology and every minimal structure is a weak structure. Recently E. Ekici introduced and studied the structure $r(\textit{w})$ in a weak structure \textit{w} on $X$. In general the structure $r(\textit{w})$ need not be a topology on $X$. In this paper we have shown that under some conditions $r(\textit{w})$ is a topology on $X$. Further, comparision of two weak structures has been studied.

School of Mathematics,
Shri Mata Vaishno Devi University, Katra,
Jammu and Kashmir-182320, INDIA
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