DENSE METRIZABLE SUBSPACES IN POWERS OF CORSON COMPACTA

Arkady Leiderman, Santi Spadaro, Stevo Todorcevic

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)3177-3187
Number of pages11
JournalProceedings of the American Mathematical Society
Volume150
Issue number7
DOIs
StatePublished - 1 Jul 2022

Keywords

  • Corson compactum
  • Martin's Axiom
  • countable chain condition
  • dense metrizable subspace
  • strictly positive measure

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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