gp alpha Kuratowski's Closure Operators in topological spaces

P G Patil, Bhadramma Pattanasgetti

Abstract


In this paper, we introduce and study topological properties of $gp\alpha$-limit points, $gp\alpha$-derived sets, $gp\alpha$-interior, and $gp\alpha$-closure using the concept of $gp\alpha$-open set. Further, the relationship between these concepts are investigated. Also, Kuratowski's axioms are discussed.

Keywords


$gp\alpha$-open set, $gp\alpha$-closed set, $gp\alpha$-limit point, $gp\alpha$-derived set, $gp\alpha$-closure, $gp\alpha$-interior points.

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DOI: http://dx.doi.org/10.23755/rm.v40i1.578

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Copyright (c) 2021 P G Patil, Bhadramma Pattanasgetti

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.