SOBER OPEN SETS IN SOBER TOPOLOGICAL SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 16

Volume : 20 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2024.2003.29
Author :
D. Jayanthi (Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, INDIA)
S. Jafari (Mathematical and Physical Science Foundation,4200 Slagelse, DENMARK)

Abstract

The aim of this paper is to introduce a new class of sets called sober open sets and investigate their basic properties. In this relation we establish a new type of topology called sober topology to further investigate sober open sets and related notions.

Keywords and Phrases

Sober open set, sober topological space, sober separation.

A.M.S. subject classification

54A35.

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