Dense metrizable subspaces in powers of Corson compacta
- Resource Type
- Authors
- Arkady Leiderman; Santi Spadaro; Stevo Todorcevic
- Source
- Proceedings of the American Mathematical Society. 150:3177-3187
- Subject
- Corson compactum, dense metrizable subspace, countable chain condition, Martin's Axiom, strictly positive measure
Applied Mathematics
General Mathematics
- Language
- ISSN
- 1088-6826
0002-9939
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.