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

$L$-paracompactness and $L_2$-paracompactness

Sayfa
779–784
Yayın Tarihi
2019-06-15
DOI
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We investigate these two properties.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:A topological space $X$ is called $L$-paracompact if there exist a paracompact space $Y$ and a bijective function $f:X\longrightarrow Y$ such that the restriction $f\upharpoonright_{A}:A\longrightarrow f(A)$ is a homeomorphism for each Lindelö}f subspace $A\subseteq X$.
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Temel Bulgular & Veri:A topological space $X$ is called $L_2$-paracompact if there exist a Hausdorff paracompact space $Y$ and a bijective function $f:X\longrightarrow Y$ such that the restriction $f\upharpoonright_{A}:A\longrightarrow f(A)$ is a homeomorphism for each Lindelöf subspace $A\subseteq X$.
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Sonuç & Katkı:We investigate these two properties.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lindelöf · paracompact · countably normal

Abstract

A topological space $X$ is called $L$-paracompact if there exist a paracompact space $Y$ and a bijective function $f:X\longrightarrow Y$ such that the restriction $f\upharpoonright_{A}:A\longrightarrow f(A)$ is a homeomorphism for each Lindelö}f subspace $A\subseteq X$. A topological space $X$ is called $L_2$-paracompact if there exist a Hausdorff paracompact space $Y$ and a bijective function $f:X\longrightarrow Y$ such that the restriction $f\upharpoonright_{A}:A\longrightarrow f(A)$ is a homeomorphism for each Lindelöf subspace $A\subseteq X$. We investigate these two properties.

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Bu Makaleye Atıf Yap

KALANTAN, L. (2019). $L$-paracompactness and $L_2$-paracompactness. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 3, 779–784. https://ajindex.com/articles/669365

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Kaynakça (10)

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