I-有利空间的外刻画
External characterization of I-favorable spaces
摘要:
本文给出了任意I-有利空间关于余零集的谱刻画和内部刻画。作为推论,我们建立了紧致I-有利空间关于余零集的任何乘积也是I-有利的关于余零集。证明了极不连通空间中的每一个关于余零集的C*-嵌入I-有利子空间都是极不连通的。
英文摘要:
We provide both a spectral and an internal characterizations of arbitrary I-favorable spaces with respect to co-zero sets. As a corollary we establish that any product of compact I-favorable spaces with respect to co-zero sets is also I-favorable with respect to co-zero sets. We also prove that every C*-embedded I-favorable with respect to co-zero sets subspace of an extremally disconnected space is extremally disconnected.
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