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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2022 / Cilt: 51 - Sayı: 1

$\beta$-Menger and $\beta$-Hurewicz spaces

Memet KULE
Sayfa
1–7
Yayın Tarihi
2022-02-14
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The subject of our investigation is also the preservation of $\beta $-Menger and $\beta $-Hurewicz properties under subspaces, products, and mappings.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Recently, some papers on weaker forms of classical covering properties of Hurewicz and Menger have been published.
📊
Temel Bulgular & Veri:In this paper, using the covers formed by $\beta $-open sets, we introduce and study the properties of $\beta $-Menger and $\beta $-Hurewicz topological spaces.
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Sonuç & Katkı:The subject of our investigation is also the preservation of $\beta $-Menger and $\beta $-Hurewicz properties under subspaces, products, and mappings.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:β-open set · β-Menger space · β-Hurewicz space

Abstract

Recently, some papers on weaker forms of classical covering properties of Hurewicz and Menger have been published. In this paper, using the covers formed by $\beta $-open sets, we introduce and study the properties of $\beta $-Menger and $\beta $-Hurewicz topological spaces. We give counterexamples that show the interrelations between those properties. The subject of our investigation is also the preservation of $\beta $-Menger and $\beta $-Hurewicz properties under subspaces, products, and mappings.

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Bu Makaleye Atıf Yap

KULE, M. (2022). $\beta$-Menger and $\beta$-Hurewicz spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 51 - Sayı: 1, 1–7. https://ajindex.com/articles/669233

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Kaynakça (20)

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