Posets of Copies of Countable Scattered Linear Orders
Logic
2017-09-26 v1
Abstract
We show that the separative quotient of the poset (P(L),\subset) of isomorphic suborders of a countable scattered linear order L is \sigma-closed and atomless. So, under the CH, all these posets are forcing-equivalent (to P(\omega)/Fin).
Keywords
Cite
@article{arxiv.1303.2598,
title = {Posets of Copies of Countable Scattered Linear Orders},
author = {Milos S. Kurilic},
journal= {arXiv preprint arXiv:1303.2598},
year = {2017}
}
Comments
21 pages, 2 figures