Abstract approach to Ramsey theory and Ramsey theorems for finite trees
Combinatorics
2012-10-03 v1 Logic
Abstract
I will give a presentation of an abstract approach to finite Ramsey theory found in an earlier paper of mine. I will prove from it a common generalization of Deuber's Ramsey theorem for regular trees and a recent Ramsey theorem of Jasinski for boron tree structures. This generalization appears to be new. I will also show, in exercises, how to deduce from it the Milliken Ramsey theorem for strong subtrees.
Keywords
Cite
@article{arxiv.1210.0859,
title = {Abstract approach to Ramsey theory and Ramsey theorems for finite trees},
author = {Slawomir Solecki},
journal= {arXiv preprint arXiv:1210.0859},
year = {2012}
}