Functionally separation axioms on general topology
type: Item
instance of: scholarly article
title: Functionally separation axioms on general topology
zbMATH Open document ID: 1477.54020
DOI: 10.1155/2021/5590047
author: Abdelwaheb Mhemdi
author: Tareq M. Al-shami
published in: Journal of Mathematics
publication date: 2021-06-28T00:00:00Z
review text: Summary: In this paper, we define a new family of separation axioms in the classical topology called functionally \(T_i\) spaces for \(i=0,1,2\). With the assistant of illustrative examples, we reveal the relationships between them as well as their relationship with \(T_i\) spaces for \(i=0,1,2\). We demonstrate that functionally \(T_i\) spaces are preserved under product spaces, and they are topological and hereditary properties. Moreover, we show that the class of each one of them represents a transitive relation and obtain some interesting results under some conditions such as discrete and Sierpinski spaces.
Mathematics Subject Classification ID: 54D10
Mathematics Subject Classification ID: 54B30
zbMATH DE Number: 7363831
Wikidata QID: Q114613272
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5590047
OpenAlex ID: W3161671963
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description: scientific article; zbMATH DE number 7363831