Dense metrizable subspaces in powers of Corson compacta

Leiderman, Arkady; Spadaro, Santi; Todorcevic, Stevo

doi:10.1090/proc/15885

Dense metrizable subspaces in powers of Corson compacta
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by Arkady Leiderman, Santi Spadaro and Stevo Todorcevic

Proc. Amer. Math. Soc. 150 (2022), 3177-3187

DOI: https://doi.org/10.1090/proc/15885

Published electronically: March 29, 2022

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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.

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