Partitions of metric spaces with finite distance sets

Norbert Sauer

A metric space $\mathrm{M}=(M,\de)$ is {\em indivisible} if for every colouring $\chi :M\to 2$ there exists $i\in 2$ and a copy $\mathrm{N}=(N, \de)$ of $\mathrm{M}$ in $\mathrm{M}$ s…