Epi-completely Regular Topological Spaces

Alshammari, Ibtesam

doi:10.29020/nybg.ejpam.v15i4.4598

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Properties and Relationships Of Both C-almost Normality And ...1

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2022

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“…Since every epi-almost normal space is C-almost normal (Theorem 2), every epi-almost normal space is epi-completely regular [5], and every C 2 -paracompact space is C-normal [24], we conclude:…”

Section: Properties and Relationships Of Both C-almost Normality And ...mentioning

confidence: 99%

C-Almost Normality and L-Almost Normality

Alqurashi

Thabit²

2022

Eur. J. Pure Appl. Math.

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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.

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Section: Properties and Relationships Of Both C-almost Normality And ...mentioning

confidence: 99%