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 language | English |
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Article number | 102908 |
Journal | Annals of Pure and Applied Logic |
Volume | 172 |
Issue number | 5 |
DOIs | |
State | Published - May 2021 |
Bibliographical note
Publisher Copyright:© 2020 Elsevier B.V.
Keywords
- Commutative Banach algebras
- Compactness
- Corson compacta
- Stationary set reflection
- Supercompact cardinals