In this paper, we introduced the mildly version of the Hurewicz basis covering property, studied by Babinkostova, Kočinac, and Scheepers. A space X is said to have mildly-Hurewicz property if for each sequence hUn : n ∈ ωi of clopen covers of X there is a sequence hVn : n ∈ ωi such that for each n, Vn is a finite subset of Un and for each x ∈ X, x belongs to S Vn for all but finitely many n. Then we characterized mildly-Hurewicz property by mildly-Hurewicz Basis property and mildly-Hurewicz measure zero property for metrizable spaces. © 2022 Belgian Mathematical Society. All rights reserved.
Original languageEnglish
Pages (from-to)121-131
Number of pages11
JournalBulletin of the Belgian Mathematical Society - Simon Stevin
Volume29
Issue number1
DOIs
Publication statusPublished - 2022

    ASJC Scopus subject areas

  • General Mathematics

    WoS ResearchAreas Categories

  • Mathematics

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