On star covering properties related  to countable compactness and pseudocompactness

Marcelo, D Passos; Heides, L Santana; da, Silva Samuel G.

doi:10.14712/1213-7243.2015.212

Commentationes Mathematicae Universitatis Carolinae

2017

DOI: 10.14712/1213-7243.2015.212

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On star covering properties related to countable compactness and pseudocompactness

D Passos Marcelo¹,

L Santana Heides²,

Silva Samuel G. da³

Abstract: Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.

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Cited by 2 publications

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Variations of star selection principles on small spaces

Rosa

Garcia-Balan

2022

Filomat

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

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Variations of star selection principles on small spaces

Rosa

Garcia-Balan

2022

Filomat

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Variations of classical selection principles: An overview

Kočinac

2019

Quaestiones Mathematicae

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On star covering properties related to countable compactness and pseudocompactness

Abstract: Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.

Cited by 2 publications

References 12 publications

Variations of star selection principles on small spaces

Variations of star selection principles on small spaces

Variations of classical selection principles: An overview

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