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

J. Sebastian Lawrence; C. Sivashanmugaraja; D. Kumar; M. Eswara Rao

doi:https://doi.org/10.56827/SEAJMMS.2023.1903.19

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

Volume 19, Issue 3 Pages 243-252 December 30, 2023 149 downloads

Article overview

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 setsminimal pre-$\gamma$-open setsfinite pre-$\gamma$-open setspre-$\gamma$-locally finite spacepre-$\gamma$-regular.

AMS Subject Classification

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

Reference information

How to Cite

J. Sebastian Lawrence, C. Sivashanmugaraja, D. Kumar, M. Eswara Rao (2023). A STUDY ON MINIMAL PRE-$\gamma$-OPEN SETS AND FINITE PRE-$\gamma$-OPEN SETS. South East Asian Journal of Mathematics and Mathematical Sciences, 19(3), 243-252.

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