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Journals / Hacettepe Journal of Mathematics and Statistics / 2016 / Cilt: 45 - Sayı: 2

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

A. Deb RAY
Rakesh BHOWMİCK
Pages
447–453
Publication Date
2016-04-01
DOI
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AI Summary & Key Takeaways

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

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 Key Takeaways

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Objective & Hypothesis: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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Key Findings & Data:Also, the generalizations of locally finite and closure preserving collections in a GTS, have been studied, pointing out their interrelations.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$\gamma_\mu$-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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Cite This Article

RAY, A. D., BHOWMİCK, R. (2016). $\mu$-paracompact and $g_\mu$-paracompact generalized topological spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 2, 447–453. https://ajindex.com/articles/669501

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References (1)

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