Local extension property for finite height spaces
Functional Analysis
2018-06-22 v2
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 of finite height has LEP. This implies, under appropriate additional assumptions on and Martin's Axiom, that every twisted sum of and is trivial, generalizing a recent result by Marciszewski and Plebanek.
Cite
@article{arxiv.1801.08619,
title = {Local extension property for finite height spaces},
author = {Claudia Correa and Daniel V. Tausk},
journal= {arXiv preprint arXiv:1801.08619},
year = {2018}
}
Comments
16 pages, no figures