Authors: Farah, Ilijas 
Magidor, Menachem
Title: Corson reflections
Journal: Annals of Pure and Applied Logic
Volume: 172
Issue: 5
First page: 102908
Issue Date: 1-May-2021
Rank: ~M21
ISSN: 0168-0072
DOI: 10.1016/j.apal.2020.102908
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.
Keywords: Commutative Banach algebras | Compactness | Corson compacta | Stationary set reflection | Supercompact cardinals
Publisher: Elsevier

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