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Journals / Konuralp Journal of Mathematics / 2026 / Volume: 11 Issue: 1

On $\Gamma$-Paracompact Spaces

Necati Can Açıkgöz(ERZURUM TEKNİK ÜNİVERSİTESİ)
Pages
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Publication Date
2023-04-30
DOI
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AI Summary & Key Takeaways

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

We also investigate some of topological properties of $\Gamma$-P spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We introduce the class of $\Gamma$-paracompact spaces as a stronger form of paracompactness.
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Key Findings & Data:A space $X$ is said to be $\Gamma$-paracompact ($\Gamma$-P, for short) space if every open cover of $X$ has a strongly locally finite (SLF) open refinement.
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Conclusion & Impact:We also investigate some of topological properties of $\Gamma$-P spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:paracompact · $\Gamma$-paracompact · regular open set

Abstract

We introduce the class of $\Gamma$-paracompact spaces as a stronger form of paracompactness. A space $X$ is said to be $\Gamma$-paracompact ($\Gamma$-P, for short) space if every open cover of $X$ has a strongly locally finite (SLF) open refinement. We give some characterizations of $\Gamma$-P spaces. We also define some weaker forms of $\Gamma$-P spaces as $\Gamma_{\sigma}$-paracompact and feebly $\Gamma$-P spaces We later introduce $\Gamma$-expandable spaces and study the relationships between $\Gamma$-expandable and $\Gamma$-P spaces. We also investigate some of topological properties of $\Gamma$-P spaces.

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Cite This Article

Açıkgöz, N. C. (2023). On $\Gamma$-Paracompact Spaces. Konuralp Journal of Mathematics, Volume: 11 Issue: 1. https://ajindex.com/articles/1521534

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