Entangledness in Suslin lines and trees
Logic
2020-04-28 v2
Abstract
We introduce the idea of a weakly entangled linear order, and show that it is consistent for a Suslin line to be weakly entangled. We generalize the notion of entangled linear orders to -trees, and prove that an -tree is entangled iff it is free. We force the existence of a Suslin tree which is -entangled, but all of whose derived trees of dimension are special, for any positive .
Keywords
Cite
@article{arxiv.1910.08793,
title = {Entangledness in Suslin lines and trees},
author = {John Krueger},
journal= {arXiv preprint arXiv:1910.08793},
year = {2020}
}