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Universal metric spaces and factorization theorems

✍ Scribed by Miroslav Husek; Stephen Watson

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 269 KB
Volume: 74
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(96)00059-4

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✦ Synopsis

It is shown that every continuous mapping from a metrizable space into a T0-space X can be factorized via a metrizable space of cardinality at most 2 wx. The assumption of To is essential. This solves completely a Herrlich's problem about almost coreflectivity of metrizable spaces.

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