$L$-paracompactness and $L_2$-paracompactness
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.
Keywords:
Lindelöf, paracompact, countably normal, $C$-paracompact, $C_2$-paracompact, $L$-paracompact, $L_2$-paracompact, $L$-normal, $CP$ $C_2P$,
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- Yayın Aralığı: Yılda 6 Sayı
- Başlangıç: 2002
- Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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