P-Normality

IF 0.3 Q4 MATHEMATICS Journal of Mathematical Analysis Pub Date : 2021-12-31 DOI:10.54379/jma-2021-6-1

Lutfi Kalantan, M. Mansouri

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引用次数: 2

摘要

如果存在一个正规空间Y和一个目标函数f: X−→Y，使得约束f|A: A−→f(A)是每一个拟紧子空间A≥X的同胚，则拓扑空间X称为p -正规。我们将研究这一性质，并举例说明p -正规与其他弱正规之间的关系。

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P-Normality

A topological space X is called P-normal if there exist a normal space Y and a bijective function f : X −→ Y such that the restriction f|A : A −→ f(A) is a homeomorphism for each paracompact subspace A ⊆ X. We will investigate this property and produce some examples to illustrate the relation between P-normality and other weaker kinds of normality.

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