Ramsey degrees of finite ultrametric spaces, ultrametric Urysohn spaces and dynamics of their isometry groups

Abstract

We study Ramsey-theoretic properties of several natural classes of finite ultrametric spaces, describe the corresponding Urysohn spaces and compute a dynamical invariant attached to their isometry groups.

DOI: 10.1016/j.ejc.2008.07.007

Cite this paper

@article{Th2009RamseyDO, title={Ramsey degrees of finite ultrametric spaces, ultrametric Urysohn spaces and dynamics of their isometry groups}, author={Lionel Nguyen Van Th{\'e}}, journal={Eur. J. Comb.}, year={2009}, volume={30}, pages={934-945} }