Semi-Cohen Boolean algebras
Logic
2016-09-06 v1
Abstract
We investigate classes of Boolean algebras related to the notion of forcing that adds Cohen reals. A >>Cohen algebra<< is a Boolean algebra that is dense in the completion of a free Boolean algebra. We introduce and study generalizations of Cohen algebras: semi-Cohen algebras, pseudo-Cohen algebras and potentially Cohen algebras. These classes of Boolean algebras are closed under completion.
Cite
@article{arxiv.math/9506208,
title = {Semi-Cohen Boolean algebras},
author = {Bohuslav Balcar and Thomas Jech and Jindřich Zapletal},
journal= {arXiv preprint arXiv:math/9506208},
year = {2016}
}