Partition properties of the dense local order and a colored version of Milliken's theorem
arXiv:0710.2885
Abstract
We study the finite dimensional partition properties of the countable homogeneous dense local order. Some of our results use ideas borrowed from the partition calculus of the rationals and are obtained thanks to a strengthening of Milliken's theorem on trees.
17 pages, 9 figures. This is the very last version of the paper. Several proofs were simplified and pictures were added