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.
Leiderman, A., Spadaro, S., Todorcevic, S. (2022). Dense metrizable subspaces in powers of Corson compacta. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 150(7), 3177-3187 [10.1090/proc/15885].
Dense metrizable subspaces in powers of Corson compacta
Spadaro, Santi
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2022-03-29
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.File | Dimensione | Formato | |
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