On the product of primal spaces

Echi, Othman

doi:10.2989/16073606.2020.1836062

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Quasihomeomorphisms and K-primal Spaces1

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2023

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Cited by 2 publications

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“…Topology τ on set X is primal if it is P ( f ) for some f : X −→ X. Since their recent introduction, functional Alexandroff topologies, were further investigated in [10][11][12][13][14][15][16][17].…”

Section: Quasihomeomorphisms and K-primal Spacesmentioning

confidence: 99%

Quasihomeomorphisms and Some Topological Properties

Dourari,

Abd El-latif,

Lazaar

et al. 2023

Mathematics

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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.

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