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

Downloads

Published

2013-01-23

Issue

Vol. 6 No. 1: (January 2013)

Section

Topology

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

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