A canonical partition theorem for uniform families of finite strong subtrees

Dimitris Vlitas

paper

A canonical partition theorem for uniform families of finite strong subtrees

arXiv:1310.3600

Abstract

Extending a result of K. Milliken \cite{Mi2}, in this paper we prove a Ramsey classification result for equivalence relations defined on uniform families of finite strong subtrees of a finite sequence $(U_{i})_{i \in d}$ of fixed trees $U_{i}$ , $i \in d$ , that have a finite uniform branching but are of infinite length.