Star covering properties and neighborhood assignments
DOI:
https://doi.org/10.1478/AAPP.1011A7Parole chiave:
star covering properties, Menger, Lindelof, compactAbstract
Following the idea of van Mill, Tkachuk, and Wilson (2007), we define a space X to be neighborhood assignment P (briefly NA-P, where P is a class of topological spaces) if for any neighbourhood assignment {Ox : x ∈ X} there is a subspace Y ⊂ X such that Y has the property P and ⋃x∈Y Ox = X. In this paper we investigate the classes of NA-P spaces and compare them with the star covering properties for some class of topological spaces P.Dowloads
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2023-03-22
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