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arXiv · 1905.08317

Corson reflections

Ilijas Farah·Menachem Magidor
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Abstract

A reflection principle for Corson compacta holds in the forcing extension obtained by Levy-collapsing a supercompact cardinal to~$\aleph_2$. In this model, a compact Hausdorff space is Corson if and only if all of its continuous images of weight~$\aleph_1$ are Corson compact. We use the Gelfand--Naimark duality, and our results are stated in terms of unital abelian \cstar-algebras.

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Ilijas Farah, Menachem Magidor. 2019-05-20. Corson reflections. https://arxiv.org/abs/1905.08317

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