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On countably compact, locally countable spaces

✍ Scribed by I. Juhász; Zs. Nagy; W. Weiss


Publisher
Springer Netherlands
Year
1979
Tongue
English
Weight
729 KB
Volume
10
Category
Article
ISSN
0031-5303

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📜 SIMILAR VOLUMES


CH and first countable, countably compac
✍ Todd Eisworth 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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