Some applications of supra preopen sets
type: Item
instance of: scholarly article
title: Some applications of supra preopen sets
zbMATH Open document ID: 1448.54002
DOI: 10.1155/2020/9634206
author: M. E. El-Shafei
author: A. H. Zakari
author: Tareq M. Al-shami
published in: Journal of Mathematics
publication date: 2020-07-15T00:00:00Z
review text: Summary: The aim of this work is to define some concepts on supra topological spaces using supra preopen sets and investigate main properties. We started this paper by correcting some results obtained in previous study and presenting further properties of supra preopen sets. Then, we introduce a concept of supra prehomeomorphism maps and discuss its main properties. After that we explore the concepts of supra limit and supra boundary points of a set with respect to supra preopen sets and examine their behaviours on the spaces that possess the difference property. Finally, we formulate the concepts of supra pre-\( T_i\)-spaces \((i = 0,1,2,3,4)\) and give completely descriptions for each one of them. In general, we study their main properties in detail and show the implications of these separation axioms among themselves as well as with \(S T_i\)-space with the help of some interesting examples.
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54C08
zbMATH DE Number: 7221161
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/9634206
OpenAlex ID: W3026312647
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description: scientific article; zbMATH DE number 7221161