Remark on compactifications of metrizable spaces
Remark on compactifications of metrizable spaces
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关于可度量空间的紧致化的评论
DOI：
10.1016/0166-8641(83)90059-7
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发表时间：
1983
期刊：
影响因子：
--
通讯作者：
E. Pol
中科院分区：
文献类型：
--
作者：
E. Pol
We show that for a given metrizable separable space X and a family {f i};∞ i= 1 of continuous functions of X into X the set of all continuous embeddings h of the space X into the Hilbert cube I ω such that all functions hf i h-1 are extendable to continuous functions f ̃ i: h (X))→ h (X) contains a dense G δ-set in the function space C (X, I ω). This strengthens and gives a new proof of some earlier results of Engelking, de Groot and McDowell.
