Corson reflections

Ilijas Farah, Menachem Magidor*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

A reflection principle for Corson compacta holds in the forcing extension obtained by Levy-collapsing a supercompact cardinal to ℵ2. In this model, a compact Hausdorff space is Corson if and only if all of its continuous images of weight ℵ1 are Corson compact. We use the Gelfand–Naimark duality, and our results are stated in terms of unital abelian C-algebras.

Original languageEnglish
Article number102908
JournalAnnals of Pure and Applied Logic
Volume172
Issue number5
DOIs
StatePublished - May 2021

Bibliographical note

Publisher Copyright:
© 2020 Elsevier B.V.

Keywords

  • Commutative Banach algebras
  • Compactness
  • Corson compacta
  • Stationary set reflection
  • Supercompact cardinals

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