Complete sigma-centered Boolean algebra not adding Cohen reals
Logic
2016-09-07 v1 General Topology
Abstract
It is shown that there exists a complete, atomless, sigma-centered Boolean algebra, which does not contain any regular countable subalgebra if and only if there exist a nowhere dense ultrafilter. Therefore the existence of such algebras is undecidable in ZFC.
Keywords
Cite
@article{arxiv.math/9712285,
title = {Complete sigma-centered Boolean algebra not adding Cohen reals},
author = {Aleksander Błaszczyk and Saharon Shelah},
journal= {arXiv preprint arXiv:math/9712285},
year = {2016}
}