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Mackey first countability and docile locally convex spaces

✍ Scribed by Carlos Bosch Giral; Thomas E. Gilsdorf; Claudia Gómez-Wulschner


Book ID
106279820
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2011
Tongue
English
Weight
152 KB
Volume
27
Category
Article
ISSN
1439-7617

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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