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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 45 Issue: 2

$\mu$-paracompact and $g_\mu$-paracompact generalized topological spaces

A. Deb Ray
Rakesh Bhowmick
Sayfa
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Yayın Tarihi
2016-04-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, it has been observed that the celebrated theorem of E.Michael in the context of regular paracompact spaces follow as a corollary to a result achieved in this paper.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper defines generalizations of paracompactness on generalized topological spaces (GTS) and establishes that paracompactness, near paracompactness and several other paracompact-like properties follow as special cases, by choosing the GT suitably.
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Temel Bulgular & Veri:Also, the generalizations of locally finite and closure preserving collections in a GTS, have been studied, pointing out their interrelations.
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Sonuç & Katkı:Finally, it has been observed that the celebrated theorem of E.Michael in the context of regular paracompact spaces follow as a corollary to a result achieved in this paper.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$\gamma_\mu$-closure · $\mu$-locally finite · $g_\mu$-locally finite

Abstract

This paper defines generalizations of paracompactness on generalized topological spaces (GTS) and establishes that paracompactness, near paracompactness and several other paracompact-like properties follow as special cases, by choosing the GT suitably. Also, the generalizations of locally finite and closure preserving collections in a GTS, have been studied, pointing out their interrelations. Finally, it has been observed that the celebrated theorem of E.Michael in the context of regular paracompact spaces follow as a corollary to a result achieved in this paper.

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Bu Makaleye Atıf Yap

Ray, A. D., Bhowmick, R. (2016). $\mu$-paracompact and $g_\mu$-paracompact generalized topological spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 45 Issue: 2. https://ajindex.com/articles/1403171

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Kaynakça (7)

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  6. R.Shen, Remarks on Products of generalized topology, Acta Math Hunger., 124(4)(2009), 363 − 369.
  7. N.V.Velicˇko, H-closed topological spaces, Amer. Math. Soc. Transl., 78(2)(1968)103 − 118.