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Vijñāna Parishad of India

Jñānābha‎, Vol. 53 (1) (2023), (55-61)

STRUCTURE OF WEAKLY SEMI-I-OPEN SETS VIA SEMI LOCAL FUNCTIONS


By

R. Rajeswari and A. Muhaseen Fathima

Department of Mathematics, Thassim Beevi Abdul Kader College for Women

Kilakarai, Ramanathapuram, Tamilnadu, India-623517

Email: rajisankerklk@gmail.com, muhaseen02@gmail.com

(Received: May 09, 2022; In format: May 15, 2022; Revised January 19, 2023; Accepted; February 05, 2023)


DOI: https://doi.org/10.58250/jnanabha.2023.53106


 

Abstract

We introduce, study and investigate the concepts of weakly semi -Is - open sets and some properties of the set. We introduce weakly semi -Is- open functions and weakly semi -Is- closed functions.  Also, we introduced notion of weakly semi -Is- open sets and weakly semi -Is- closed sets. We 

discussed its properties and its relationship between other sets in topological spaces as said in  below introduction. We also furnish decomposition of continuity in this paper.


2020 Mathematical Sciences Classification: 54A05, 54A10.

Keywords and Phrases: weakly semi-Is-open, weakly semi-Is-closed, weakly semi-Is-continuity, weakly semi-Is-sets.



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