A direct proof of the five element basis theorem
Logic
2016-03-02 v2
Abstract
We present a direct proof of the consistency of the existence of a five element basis for the uncountable linear orders. Our argument is based on the approach of notion of saturation of Aronszajn trees considered by Koenig, Larson, Moore and Velickovic and simplifies the original proof of Moore.
Cite
@article{arxiv.1012.0596,
title = {A direct proof of the five element basis theorem},
author = {Boban Velickovic and Giorgio Venturi},
journal= {arXiv preprint arXiv:1012.0596},
year = {2016}
}