Variations of star selection principles on small spaces

نویسندگان

چکیده

In this work, we introduce the notions of Star-?K and absolutely spaces which allow us to unify results among several properties in theory star selection principles on small spaces. particular, selective versions Menger, Hurewicz Rothberger property (a) regarding size space. Connections other well-known are mentioned. Furthermore, absolute version neighbourhood principle introduced. As an application, it is obtained that extent a separable strongly star-Menger (absolutely star-Hurewicz) space at most dominating number d (the bounding b).

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ژورنال

عنوان ژورنال: Filomat

سال: 2022

ISSN: ['2406-0933', '0354-5180']

DOI: https://doi.org/10.2298/fil2214903c