DECOMPOSITIONS OF CONTINUITY VIA SIMPLY-OPEN SETS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 29

Volume : 19 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.18
Author :
Talal Ali Al-Hawary (Mathematics Department, Yarmouk University, Irbid, JORDAN)
Jalal Hattem Hussein (Mathematics Department, College of Science for Woman, University of Baghdad, Baghdad, IRAQ)

Abstract

In [7, 9, 13, 14], the class of {simply --open} sets was introduced and explored. In this paper, we introduce what we call {SM}$-$ continuity and $SMM-$continuity and we give several characterizations and two decompositions of $SM-$continuity. Finally, new decompositions of continuity are provided.

Keywords and Phrases

Simply-open, M-continuity, continuity.

A.M.S. subject classification

54C08, 54C05,

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