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Free topological groups of weak P-spaces

✍ Scribed by Warren Wm. McGovern

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
55 KB
Volume
112
Category
Article
ISSN
0166-8641

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✦ Synopsis

It is known that the free topological group over the Tychonoff space X, denoted F (X), is a Pspace if and only if X is a P -space. This article is concerned with the question of whether one can characterize when F (X) is a weak P -space, that is, a space where all countable subsets are closed. Our main result is that F (X) is a weak P -space if and only if X is a weak P -space and every countable subset is C-embedded.

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