Dense metrizable subspaces in powers of Corson compacta
- Autori: Leiderman, Arkady; Spadaro, Santi; Todorcevic, Stevo
- Anno di pubblicazione: 2022
- Tipologia: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/547545
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.