Free topological groups of weak P - spaces
نویسنده
چکیده
It is known that the free topological group over the Tychonoff space X, denoted F(X), is a P space 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. 2001 Elsevier Science B.V. All rights reserved.
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تاریخ انتشار 1999