Partition properties of the dense local order and a colored version of Milliken's theorem

Details Partition properties of the dense local order and a colored version of Milliken's theorem Partition properties of the dense local order and a colored version of Milliken's theorem

2007-10-15

arxiv.org/abs/0710.2885v3

Mathematics

Combinatorics

17 pages, 9 figures. This is the very last version of the paper. Several proofs were simplified and pictures were added

Scientific paper

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.

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