@inbook{ebf80a2a0fc64581af23a9a838b2f3b8,
title = "Abstract Approach to Ramsey Theory and Ramsey Theorems for Finite Trees",
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 Jasi{\'n}ski 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 = "Ramsey theorems for trees, Ramsey theory",
author = "S{\l}awomir Solecki",
note = "Funding Information: Research supported by NSF grant DMS-1001623. I thank Kostya Slutsky for preparing for me the two wonderful drawings, and Alekos Kechris, Justin Moore, Miodrag Soki{\'c}, Min Zhao, and the referee for their comments on earlier versions of the paper.",
year = "2013",
doi = "10.1007/978-1-4614-6406-8_15",
language = "English (US)",
isbn = "9781461464051",
series = "Fields Institute Communications",
pages = "313--340",
editor = "Monika Ludwig and Vladimir Pestov and Vitali Milman and Nicole Tomczak-Jaegermann",
booktitle = "Asymptotic Geometric Analysis",
}