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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 4

On localization of the star-Menger selection principle

Debraj Chandra(University of Gour Banga)0000-0001-5261-4598
Nur Alam(University of Gour Banga)0000-0001-8236-9984
Sayfa
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Yayın Tarihi
2021-08-06
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Besides, several results on decomposition and remainder of locally star-Menger spaces are also presented.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we primarily introduce the local version of star-Menger property, namely locally star-Menger property (a space with this property is called locally star-Menger) and present some important topological observations.
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Temel Bulgular & Veri:Certain interactions between the new notion and star-Menger property are also observed.
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Sonuç & Katkı:Besides, several results on decomposition and remainder of locally star-Menger spaces are also presented.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:locally star-Menger · effectively locally star-Menger · Pixley-Roy hyperspace

Abstract

In this paper we primarily introduce the local version of star-Menger property, namely locally star-Menger property (a space with this property is called locally star-Menger) and present some important topological observations. Certain interactions between the new notion and star-Menger property are also observed. Some observations on effectively locally star-Menger Pixley-Roy hyperspaces (introduced here) are obtained. Preservation like properties under several topological operations are also interpreted carefully. Besides, several results on decomposition and remainder of locally star-Menger spaces are also presented.

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Bu Makaleye Atıf Yap

Chandra, D., Alam, N. (2021). On localization of the star-Menger selection principle. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 4. https://doi.org/10.15672/hujms.832056

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