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arXiv · 1210.0859

Abstract approach to Ramsey theory and Ramsey theorems for finite trees

Slawomir Solecki
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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.

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Slawomir Solecki. 2012-10-02. Abstract approach to Ramsey theory and Ramsey theorems for finite trees. https://arxiv.org/abs/1210.0859

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