Abstract
We characterize when the countable power of a Corson compactum has a dense metrizable subspace and construct consistent examples of Corson compacta whose countable power does not have a dense metrizable subspace. We also give several remarks about ccc Corson compacta and, as a byproduct, we obtain a new proof of Kunen and van Mill's characterization of when a Corson compactum supporting a strictly positive measure is metrizable.
Original language | English |
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Pages (from-to) | 3177-3187 |
Number of pages | 11 |
Journal | Proceedings of the American Mathematical Society |
Volume | 150 |
Issue number | 7 |
DOIs | |
State | Published - 1 Jul 2022 |
Keywords
- Corson compactum
- Martin's Axiom
- countable chain condition
- dense metrizable subspace
- strictly positive measure
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics