A canonical partition theorem for trees
In this paper we prove a 

canonical partition theorem for weakly embedded subtrees of a given 

regular tree. It was broght to my attention that there is a paper of 

Milliken "Canonical partition theorem for strongly embedded subtrees of 

regular trees" circulated in the 1980's. This paper is still unpublished 

and the results in my paper are discovered independently. Although it is 

possible to conclude the result about weakly embedded subtrees from 

Milliken's paper, we give a direct proof which works for both, weakly and 

strongly embedded subtrees.