gp alpha Kuratowski's Closure Operators in topological spaces

Authors

  • P G Patil Department of Mathematics Karnatak University, Dharwad-580003,India
  • Bhadramma Pattanasgetti Department of Mathematics Karnatak University, Dharwad-580003, India

DOI:

https://doi.org/10.23755/rm.v40i1.578

Keywords:

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

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.

Author Biographies

  • P G Patil, Department of Mathematics Karnatak University, Dharwad-580003,India

    Professor 

    Department of Mathematics
    Karnatak University, Dharwad-580003,India

  • Bhadramma Pattanasgetti, Department of Mathematics Karnatak University, Dharwad-580003, India

    Research Scholar

    Department of Mathematics
    Karnatak University, Dharwad-580003, India

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Published

2021-07-04

Issue

Section

Volume 40-2021