# Sh:1123

- Shelah, S., & Verner, J. L.
*Ramsey partitions of metric spaces*. Preprint. -
Abstract:

We investigate the existence of metric spaces which, for any coloring with a fixed number of colors, contain monochromatic isomorphic copies of a fixed starting space K. In the main theorem we construct such a space of size 2^{\aleph_0} for colorings with \aleph_0 colors and any metric space K of size \aleph_0. We also give a slightly weaker theorem for countable ultrametric K where, however, the resulting space has sizeĀ \aleph_1. - Version 2018-01-22 (6p)

Bib entry

@article{Sh:1123, author = {Shelah, Saharon and Verner, Jonathan L.}, title = {{Ramsey partitions of metric spaces}} }