Collectionwise Pre-Normality in Topological Spaces
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.6597Keywords:
collectionwise normal, paracompact, pre-normal, discrete familyAbstract
This paper introduces and studies a new topological property called collectionwise pre-normality. A space X is said to be collectionwise pre-normal if and only if X is T1 and for every discrete family F = {Fs}s∈S of closed subsets of X, there exists a discrete family U = {Us}s∈S of pre-open subsets of X such that Fs ⊆ Us for each s ∈ S. We investigate this property and present
examples that illustrate its relationship with other known topological properties.
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Copyright (c) 2025 Sadeq thabit, Alyaa Alawadi, Rafiqa Noaman
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