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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

Alexander V. OSIPOV
Manoj BHARDWAJ
Pages
1042–1053
Publication Date
2022-11-04
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also consider the star version of Hurewiczmeasure 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,Kocˇinac, and Scheepers in 2004.
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Key Findings & Data:The authors obtained the relationship between star-selection principles and the starversion of the Hurewicz basis covering property for metrizable spaces.
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Conclusion & Impact:We also consider the star version of Hurewiczmeasure zero spaces and characterized these new spaces by the star-selection principle related to star-Hurewicz spaces.
🔬Design:Research Article
📍Scope:2004 Verileri
⚙️Variables:Domain Parameters

Abstract

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

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Cite This Article

OSIPOV, A. V., BHARDWAJ, M. (2022). 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/607560

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