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CH and first countable, countably compact spaces

✍ Scribed by Todd Eisworth

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 157 KB
Volume: 109
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00126-1

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✦ Synopsis

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 of

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