| 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 | 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. |
Keywords: | Commutative Banach algebras | Compactness | Corson compacta | Stationary set reflection | Supercompact cardinals | Publisher: | Elsevier |
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