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arXiv · 1801.08619

Local extension property for finite height spaces

Claudia Correa·Daniel V. Tausk
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Abstract

We introduce a new technique for the study of the local extension property (LEP) for boolean algebras and we use it to show that the clopen algebra of every compact Hausdorff space $K$ of finite height has LEP. This implies, under appropriate additional assumptions on $K$ and Martin's Axiom, that every twisted sum of $c_0$ and $C(K)$ is trivial, generalizing a recent result by Marciszewski and Plebanek.

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Claudia Correa, Daniel V. Tausk. 2018-01-25. Local extension property for finite height spaces. https://arxiv.org/abs/1801.08619

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