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arXiv · 2403.15799

Dense metrizable subspaces in powers of Corson compacta

Arkady Leiderman·Santi Spadaro·Stevo Todorcevic
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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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Arkady Leiderman, Santi Spadaro, Stevo Todorcevic. 2024-03-23. Dense metrizable subspaces in powers of Corson compacta. https://doi.org/10.1090/proc/15885

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