Hausdorff gaps and towers in P(\omega)/Fin
Logic
2014-10-01 v2
Abstract
We define and study two classes of uncountable -chains: Hausdorff towers and Suslin towers. We discuss their existence in various models of set theory. Then, some of the results and methods are used to provide examples of indestructible gaps not equivalent to a Hausdorff gap. Also, we indicate possible ways of developing a structure theory for towers.
Cite
@article{arxiv.1302.4550,
title = {Hausdorff gaps and towers in P(\omega)/Fin},
author = {Piotr Borodulin-Nadzieja and David Chodounský},
journal= {arXiv preprint arXiv:1302.4550},
year = {2014}
}
Comments
34 pages