C-normal topological property

A topological space X is called C-normal if there exist a normal space Y and a bijective function f : X ? Y such that the restriction f _ C : C ? f (C) is a homeomorphism for each compact subspace C ? X. We investigate this property and present some examples to illustrate the relationships between C...

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Bibliographic Details
Published in:Filomat 2017, Vol.31 (2), p.407-411
Main Authors: AlZahrani, Samirah, Kalantan, Lutfi
Format: Article
Language:English
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Summary:A topological space X is called C-normal if there exist a normal space Y and a bijective function f : X ? Y such that the restriction f _ C : C ? f (C) is a homeomorphism for each compact subspace C ? X. We investigate this property and present some examples to illustrate the relationships between C-normality and other weaker kinds of normality. nema
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1702407A