Some topological properties on C-α-Normality and C-β-Normality

A topological space (Y,τ) is called C-α-normal (C-β-normal) if there exist a bijective function g from Y onto α-normal (β-normal) space Z such that the restriction map g|B from B onto g(B) is a homeomorphism for any compact subspace B of Y. We discuss some relationships between C-α-normal (C-β-norma...

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Bibliographic Details
Published in:Journal of King Saud University. Science 2023-01, Vol.35 (1), p.102449, Article 102449
Main Author: Alzahrani, Samirah
Format: Article
Language:English
Subjects:
54B10
54D15
C-normal
Epinormal
Mildly normal
Normal
α-normal
β-normal
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Summary:A topological space (Y,τ) is called C-α-normal (C-β-normal) if there exist a bijective function g from Y onto α-normal (β-normal) space Z such that the restriction map g|B from B onto g(B) is a homeomorphism for any compact subspace B of Y. We discuss some relationships between C-α-normal (C-β-normal) and other properties.
ISSN:1018-3647
DOI:10.1016/j.jksus.2022.102449