English

Corson reflections

Logic 2020-01-28 v2

Abstract

A reflection principle for Corson compacta holds in the forcing extension obtained by Levy-collapsing a supercompact cardinal to~2\aleph_2. In this model, a compact Hausdorff space is Corson if and only if all of its continuous images of weight~1\aleph_1 are Corson compact. We use the Gelfand--Naimark duality, and our results are stated in terms of unital abelian \cstar-algebras.

Cite

@article{arxiv.1905.08317,
  title  = {Corson reflections},
  author = {Ilijas Farah and Menachem Magidor},
  journal= {arXiv preprint arXiv:1905.08317},
  year   = {2020}
}

Comments

Some corrections, mostly minor

R2 v1 2026-06-23T09:14:01.761Z