Maximal trees
Logic
2016-11-28 v1
Abstract
We show that, consistently, there can be maximal subtrees of P (omega) and P (omega) / fin of arbitrary regular uncountable size below the size of the continuum. We also show that there are no maximal subtrees of P (omega) / fin with countable levels. Our results answer several questions of Campero, Cancino, Hrusak, and Miranda.
Cite
@article{arxiv.1611.08150,
title = {Maximal trees},
author = {Joerg Brendle},
journal= {arXiv preprint arXiv:1611.08150},
year = {2016}
}