A STUDY ON MINIMAL PRE-$\gamma$-OPEN SETS AND FINITE PRE-$\gamma$-OPEN SETS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 37

Volume : 19 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.19
Author :
J. Sebastian Lawrence (Department of Mathematics, SRM TRP Engineering College, Irungalur, Trichy - 620105, Tamil Nadu, INDIA)
C. Sivashanmugaraja (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)

Abstract

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

Keywords and Phrases

Pre-$\gamma$-open sets, minimal pre-$\gamma$-open sets, finite pre-$\gamma$-open sets, pre-$\gamma$-locally finite space, pre-$\gamma$-regular.

A.M.S. subject classification

54D10, 54A05, 54A10, 54D99.

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