@article{4d3b2846f4014b3eaac66aaa4afd7fb1,

title = "DENSE METRIZABLE SUBSPACES IN POWERS OF CORSON COMPACTA",

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, Martin's Axiom, countable chain condition, dense metrizable subspace, strictly positive measure",

author = "Arkady Leiderman and Santi Spadaro and Stevo Todorcevic",

note = "Funding Information: Received by the editors July 5, 2021, and, in revised form, October 3, 2021. 2020 Mathematics Subject Classification. Primary 54A25, 54A35, 03E35, 46B50. Key words and phrases. Corson compactum, dense metrizable subspace, countable chain condition, Martin{\textquoteright}s Axiom, strictly positive measure. The second author was partially financially supported by INdAM-GNSAGA and by the Center for Advanced Studies in Mathematics at Ben Gurion University during his visit to Be{\textquoteright}er Sheva in 2018. The research of the third author was partially supported by grants from NSERC (455916) and CNRS (UMR7586). Publisher Copyright: {\textcopyright} 2022 American Mathematical Society",

year = "2022",

month = jul,

day = "1",

doi = "10.1090/proc/15885",

language = "English",

volume = "150",

pages = "3177--3187",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "7",

}