$L$-paracompactness and $L_2$-paracompactness

Authors : Lutfi KALANTAN

Pages : 779-784

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Publication Date : 2019-06-15

Article Type : Research Paper

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 $f\upharpoonright_{A}:A\longrightarrow finsert ignore into journalissuearticles values(A);$ 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 $f\upharpoonright_{A}:A\longrightarrow finsert ignore into journalissuearticles values(A);$ is a homeomorphism for each Lindelöf subspace $A\subseteq X$. We investigate these two properties.
Keywords : Lindelöf, paracompact, countably normal, C paracompact, C 2 paracompact, L paracompact, L 2 paracompact, L normal, CP, C 2P