Star versions of the Hurewicz basis covering property and strong measure zero spaces | Zendy

Manoj Bhardwaj | Zendy; Alexander V. Osipov | Zendy

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Star versions of the Hurewicz basis covering property and strong measure zero spaces

Author(s) -

Manoj Bhardwaj,

Alexander V. Osipov

Publication year - 2020

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-2003-87

Subject(s) - star (game theory) , mathematics , metrization theorem , measure (data warehouse) , basis (linear algebra) , zero (linguistics) , null set , property (philosophy) , selection (genetic algorithm) , pure mathematics , mathematical analysis , artificial intelligence , geometry , computer science , separable space , set (abstract data type) , programming language , linguistics , philosophy , epistemology , database

In this paper,we introduced the star version of the Hurewicz basis covering property,studied by Babinkostova, Ko?cinac, and Scheepers in 2004. The authors obtained the relationship between star-selection principles and the star version of the Hurewicz basis covering property for metrizable spaces. We also consider the star version of Hurewicz measure zero spaces and characterized these new spaces by the star-selection principle related to star-Hurewicz spaces.

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