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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