On Minimal gamma-Open Sets

Authors

  • Sabir Hussain Islamia University Bahawalpur, pakistan
  • Bashir Ahmad Bahauddin Zakariya University

Keywords:

gamma-closed (open), gamma-closure, minimal gamma-open, pre gamma-open, finite gamma-open, gamma$-locally finite, pre gamma-$T_2$ space.

Abstract

In this paper, we introduce and discuss minimal gamma-

open sets in topological spaces. We establish some basic properties of minimal gamma-open sets and provide an example to illustrate that minimal gamma-open sets are independent of minimal open sets introduced and discussed in [3]. We obtain some properties of pre gamma-open sets using properties of minimal gamma-open sets. As an application of a theory of minimal gamma-open sets, we obtain a sufficient condition for a gamma-locally finite space to be a pre gamma-T_2space.

Author Biography

Sabir Hussain, Islamia University Bahawalpur, pakistan

Department of Mathematics,

Islamia University Bahawalpur,

Pakistan

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Published

2009-08-18

How to Cite

Hussain, S., & Ahmad, B. (2009). On Minimal gamma-Open Sets. European Journal of Pure and Applied Mathematics, 2(3), 338–351. Retrieved from https://ejpam.com/index.php/ejpam/article/view/300

Issue

Section

Topology