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Thin and bounded subsets of free topological groups

✍ Scribed by Ol'ga V. Sipacheva; Michael G. Tkačenko


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
776 KB
Volume
36
Category
Article
ISSN
0166-8641

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✍ Salvador Hernández; Manuel Sanchis; Michael Tkačenko 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 205 KB

We investigate C-compact and relatively pseudocompact subsets of Tychonoff spaces with a special emphasis given to subsets of topological groups. It is shown that a relatively pseudocompact subset of a space X is C-compact in X, but not vice versa. If, however, X is a topological group, then these p