Abstract

A reflection principle for Corson compacta holds in the forcing extension obtained by Levy-collapsing a supercompact cardinal to~ℵ2\aleph_2. In this model, a compact Hausdorff space is Corson if and only if all of its continuous images of weight~ℵ1\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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