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Journals / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 3

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

Manoj BHARDWAJ
Alexander OSIPOV
Pages
1042–1053
Publication Date
2020-05-01
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper,we introduced the star version of the Hurewicz basis covering property,studied by Babinkostova, Ko?cinac, and Scheepers in 2004.
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Key Findings & Data:The authors obtained the relationship between star-selection principles and the star version of the Hurewicz basis covering property for metrizable spaces.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:2004 Verileri
⚙️Variables:Hurewicz basis property · star-Hurewicz basis property · Hurewicz measure zero spaces

Abstract

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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Cite This Article

BHARDWAJ, M., OSIPOV, A. (2020). Star versions of the Hurewicz basis covering property and strong measure zero spaces. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 3, 1042–1053. https://ajindex.com/articles/193200

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