A factorization of metric spaces

Pub Date : 2023-01-01 DOI:10.4064/cm9066-6-2023
Yoshito Ishiki
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Abstract

We first prove that for every metrizable space $X$, for every closed subset $F\hphantom{i}$ whose complement is zero-dimensional, the space $X$ can be embedded as a closed subset into a product of the closed subset $F$ and a metrizable zero-dimensional sp
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度量空间的分解
首先证明了对于每一个可度量空间$X$,对于补为零维的每一个闭子集$F\hphantom{i}$,空间$X$可以作为一个闭子集嵌入到闭子集$F$与可度量的零维sp的乘积中
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