C-Almost Normality and L-Almost Normality

The main purpose of this paper is to introduce and study new topological properties called C-almost normality and L-almost normality. A space X is called a C-almost normal (resp. L-almost normal) space if there exist an almost normal space Y and a bijective function f : X → Y such that the restricti...

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Veröffentlicht in:European journal of pure and applied mathematics 2022-10, Vol.15 (4), p.1760-1782
Hauptverfasser: Alqurashi, Wafa, Thabit, Sadeq
Format: Artikel
Sprache:eng
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Zusammenfassung:The main purpose of this paper is to introduce and study new topological properties called C-almost normality and L-almost normality. A space X is called a C-almost normal (resp. L-almost normal) space if there exist an almost normal space Y and a bijective function f : X → Y such that the restriction function f|A : A → f(A) is a homeomorphism for each compact (resp. Lindelöf) subspace A ⊆ X. We investigate these properties and present some examples to illustrate the relationships among them with other kinds of topological properties.
ISSN:1307-5543
1307-5543
DOI:10.29020/nybg.ejpam.v15i4.4570