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On some concepts of weak connectedness of topological spaces

✍ Scribed by Zbigniew Duszyński

Publisher
Akadmiai Kiad
Year
2006
Tongue
English
Weight
182 KB
Volume
110
Category
Article
ISSN
1588-2632

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Free topological groups of weak P-spaces
Free topological groups of weak P-spaces
✍ Warren Wm. McGovern 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 55 KB

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 m