A STUDY ON MINIMAL PRE-γ-OPEN SETS AND FINITE PRE-γ-OPEN SETS

  • J. Sebastian Lawrence Department of Mathematics, SRM TRP Engineering College, Irungalur, Trichy- 620105, Tamil Nadu, INDIA
  • C. Sivashanmugaraj Periyar Arts College, Cuddalore- 607001, Tamil Nadu, INDIA
  • D. Kumar Department of Mathematics, SRM TRP Engineering College, Irungalur, Trichy- 620105, Tamil Nadu, INDIA
  • M. Eswara Rao Saveetha School of Engineering, SIMATS, Chennai- 602105, Tamil Nadu, INDIA
Keywords: Pre-γ-open sets, minimal pre-γ-open sets, finite pre-γopen sets, pre-γ-locally finite space, pre-γ-regular.

Abstract

The aim of this paper is to investigate some new characterizations of minimal pre-γ-open sets in a topological space. We have introduced and investigated finite pre-γ-open sets and pre-γ-locally finite spaces. Moreover relationships between finite and minimal pre-γ-open sets are obtained.
Published
2023-12-30