Quasihomeomorphisms and Some Topological Properties-Reference-Cited by-同舟云学术

Quasihomeomorphisms and Some Topological Properties

Published:2023-11-24 Issue:23 Volume:11 Page:4748
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Dourari Khedidja¹,Abd El-latif Alaa M.²^ORCID,Lazaar Sami³,Mhemdi Abdelwaheb⁴^ORCID,Al-shami Tareq M.⁵^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Exact Sciences, Frères Mentouri University, Constantine 1, Constantine 25000, Algeria

2. Mathematics Department, Faculty of Arts and Science, Northern Border University, Rafha 91911, Saudi Arabia

3. Department of Mathematics, Faculty of Sciences, University of Taibah, Madina 41311, Saudi Arabia

4. Department of Mathematics, College of Sciences and Humanities in Aflaj, Prince Sattam Bin Abdulaziz University, Riyadh 16273, Saudi Arabia

5. Department of Mathematics, Sana’a University, Sana’a P.O. Box 1247, Yemen

Abstract

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.

Funder

Deputyship for Research and lnnovation, Ministry of Education in Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/23/4748/pdf

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