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 epsilon X} there is a subspace Y C X such that Y has the property P and Ux epsilon 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.
STAR COVERING PROPERTIES AND NEIGHBORHOOD ASSIGNMENTS
Basile, FAPrimo
;Bonanzinga, M
Secondo
;Maesano, FPenultimo
;
2023-01-01
Abstract
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 epsilon X} there is a subspace Y C X such that Y has the property P and Ux epsilon 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.File in questo prodotto:
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