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Approximating properties of sets in some topological spaces

✍ Scribed by A. L. Garkavi; A. M. Flomin

Publisher: SP MAIK Nauka/Interperiodica
Year: 1967
Tongue: English
Weight: 264 KB
Volume: 2
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01093943

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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