Quasihomeomorphisms and Some Topological Properties

Autor:	Khedidja Dourari, Alaa M. Abd El-latif, Sami Lazaar, Abdelwaheb Mhemdi, Tareq M. Al-shami
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	quasihomeomorphism Alexandroff space Whyburn space submaximal space primal space factorisation systems Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 23, p 4748 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11234748
Popis:	In this paper, we study the properties of topological spaces preserved by quasihomeomorphisms. Particularly, we show that quasihomeomorphisms preserve Whyburn, weakly Whyburn, submaximal and door properties. Moreover, we offer necessary conditions on continuous map q:X→Y where Y is Whyburn (resp., weakly Whyburn ) in order to render X Whyburn (resp., weakly Whyburn). Also, we prove that if q:X→Y is a one-to-one continuous map and Y is submaximal (resp., door), then X is submaximal (resp., door). Finally, we close this paper by studying the relation between quasihomeomorphisms and k-primal spaces.
Databáze:	Directory of Open Access Journals
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