Separation Axioms on Topological Space - A Unified Version

Authors

  • Bishwambhar Roy Women's Christian College 6, Greek Church Row Kolkata-700 026 INDIA
  • Ritu Sen S. A. Jaipuria College
  • Takashi Noiri (Retired)

Keywords:

$\psi$-open sets, $g\psi$-open sets, $\psi_g$-regular, $\psi_g$-normal spaces

Abstract

In this paper a new kind of sets called generalized closed sets are introduced and studied in a topological space by using the concept of operation in a topological space.  Some of their properties are investigated. Finally, some characterizations of $\psi_g$-regular, $\psi_g$-normal spaces are given.

Author Biographies

  • Bishwambhar Roy, Women's Christian College 6, Greek Church Row Kolkata-700 026 INDIA

    Department of Mathemathmatics

    Assistant Professor

  • Ritu Sen, S. A. Jaipuria College
    Department of Mathematics
  • Takashi Noiri, (Retired)
    Department of Mathematics

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Published

2013-01-23

Issue

Vol. 6 No. 1: (January 2013)

Section

Topology

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How to Cite

Separation Axioms on Topological Space - A Unified Version. (2013). European Journal of Pure and Applied Mathematics, 6(1), 44-52. https://www.ejpam.com/index.php/ejpam/article/view/1068