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Selections and countable compactness

โœ Scribed by Buhagiar, David; Gutev, Valentin


Book ID
121610414
Publisher
SP Versita
Year
2013
Tongue
English
Weight
296 KB
Volume
63
Category
Article
ISSN
0139-9918

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Countable choice and compactness
โœ Marianne Morillon ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 180 KB
CH and first countable, countably compac
โœ Todd Eisworth ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 157 KB

We show that it is consistent with the Continuum Hypothesis that first countable, countably compact spaces with no uncountable free sequences are compact. As a consequence, we get that CH does not imply the existence of a perfectly normal, countably compact, non-compact space, answering a question o

On a Weaker Form of Countable Compactnes
โœ Bonanzinga, Maddalena; Cammaroto, Filippo; Matveev, Mikhail V. ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Taylor and Francis Group ๐ŸŒ English โš– 164 KB