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Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 3

L-paracompactness andL2-paracompactness

Lutfi KALANTAN
Pages
779–784
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

We investigate these two properties.

📌 3 Key Takeaways

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Objective & Hypothesis:A topological spaceXis calledL-paracompactif there exist a paracompact spaceYand abijective functionf:X−→Ysuch that the restrictionfA:A−→f(A)is a homeomor-phism for each Lindelöf subspaceA⊆X.
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Key Findings & Data:A topological spaceXis calledL2-paracompactif there exist a Hausdorff paracompact spaceYand a bijective functionf:X−→Ysuchthat the restrictionfA:A−→f(A)is a homeomorphism for each Lindelöf subspaceA⊆X.
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Conclusion & Impact:We investigate these two properties.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

A topological spaceXis calledL-paracompactif there exist a paracompact spaceYand abijective functionf:X−→Ysuch that the restrictionfA:A−→f(A)is a homeomor-phism for each Lindelöf subspaceA⊆X. A topological spaceXis calledL2-paracompactif there exist a Hausdorff paracompact spaceYand a bijective functionf:X−→Ysuchthat the restrictionfA:A−→f(A)is a homeomorphism for each Lindelöf subspaceA⊆X. We investigate these two properties.

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Cite This Article

KALANTAN, L. (2022). L-paracompactness andL2-paracompactness. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 3, 779–784. https://ajindex.com/articles/529737

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References (1)

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