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, FA
Primo
;
Bonanzinga, M
Secondo
;
Maesano, F
Penultimo
;
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.
2023
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3280688
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