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

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## 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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*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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