Authors: Leiderman, Arkady
Spadaro, Santi
Todorčević, Stevo 
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: DENSE METRIZABLE SUBSPACES IN POWERS OF CORSON COMPACTA
Journal: Proceedings of the American Mathematical Society
Volume: 150
Issue: 7
First page: 3177
Last page: 3187
Issue Date: 1-Jul-2022
Rank: ~M22
ISSN: 0002-9939
DOI: 10.1090/proc/15885
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.
Keywords: Corson compactum | countable chain condition | dense metrizable subspace | Martin's Axiom | strictly positive measure
Publisher: American Mathematical Society

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