%0 Journal Article
%T The $\aleph_{0}$-categorical Trees and Cycle-free Partial Orders
%A Robert Barham
%J Mathematics
%D 2015
%I arXiv
%X We provide a description of the structure of $\aleph_0$-categorical trees and cycle-free partial orders. First the maximal branches of $\aleph_0$-categorical tree are examined, followed by the configuration of the ramification orders, which are then combined to provided necessary and sufficient conditions for a tree to be $\aleph_0$-categorical in terms of these two things. The classification of the $\aleph_0$-categorical cycle-free partial orders is found as a corollary.
%U http://arxiv.org/abs/1503.03336v2