Countable ordinals and big Ramsey degrees
Combinatorics
2019-07-29 v2
Abstract
In this paper we consider big Ramsey degrees of finite chains in countable ordinals. We prove that a countable ordinal has finite big Ramsey degrees if and only if it is smaller than . Big Ramsey degrees of finite chains in all other countable ordinals are infinite.
Cite
@article{arxiv.1904.03637,
title = {Countable ordinals and big Ramsey degrees},
author = {Dragan Mašulović and Branislav Šobot},
journal= {arXiv preprint arXiv:1904.03637},
year = {2019}
}