On \(\alpha\)-Generalized Star Closed Sets in Bitopological Spaces

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A. Vadivel
R. Vijayalakshmi
D. Krishnaswamy

Abstract

S. Somasundaram,  M. Murugalingam and S. Palaniammal [1] introduced the concepts of \(\alpha\)-generalized star closed sets and \(\alpha\)-generalized star open sets in a topological space.  A subset \(A\) of a topological space \(X\) is called \(\alpha\)-generalized star (briefly, \(\alpha g^*\)-closed set)  if \(cl(A)\subseteq U\) whenever \(A\subseteq U\) and \(U\) is \(\alpha\)-open in \(X\). The complement of \(\alpha g^*\)-open set if \(X−A\) is \(\alpha g^*\)-closed.  In this paper, the same concept was extended to bitopological spaces and we introduced the newly related concept of pairwise αg∗αg∗-continuous mappings. Also \(alpha G^∗O \)-connectedness and \(\alpha G^∗O \)-compactness are introduced in bitopological spaces and some of their properties are established.

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How to Cite
Vadivel, A. ., Vijayalakshmi, R. ., & Krishnaswamy, D. . (2022). On \(\alpha\)-Generalized Star Closed Sets in Bitopological Spaces. Journal of Advanced Studies in Topology, 1(1), 63–71. Retrieved from http://m-sciences.com/index.php/jast/article/view/12
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Research Articles

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