Generalized s-topological Groups

Rehman Jehangir^1, and Moizud Din Khan^2,

¹Department of Mathematics, Preston University Kohat (Islamabad), Pakistan

²Department of Mathematics, COMSATS institute of information technology, Chak Shehzad Islamabad, Pakistan

Cite this paper:
Rehman Jehangir and Moizud Din Khan. Generalized s-topological Groups. Turkish Journal of Analysis and Number Theory. 2015; 3(4):108-110. doi: 10.12691/tjant-3-4-4

Abstract

In this paper, we explore the notion of generalized semi topological groups. This notion is based upon the two ideas, generalized topological spaces introduced by Csaszar [2,3] and the semi open sets introduced by Levine [7]. We investigate on the notion of generalized topological group introduced by Hussain [4]. We explore the idea of Hussain by considering the generalized semi continuity upon the two maps of binary relation and inverse function.

Keywords:
generalized semi open sets generalized compact sets generalized continuity generalized continuity generalized discrete sets

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