SOBER OPEN SETS IN SOBER TOPOLOGICAL SPACES

D. Jayanthi; S. Jafari

doi:https://doi.org/10.56827/SEAJMMS.2024.2003.29

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

Volume 20, Issue 3 Pages 385-396 December 30, 2024 154 downloads

Article overview

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 setsober topological spacesober separation.

AMS Subject Classification

54A35.

Reference information

How to Cite

D. Jayanthi, S. Jafari (2024). SOBER OPEN SETS IN SOBER TOPOLOGICAL SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 20(3), 385-396.

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