# Sh:1123

- Shelah, S., & Verner, J. L. (2023).
*Ramsey partitions of metric spaces*. Acta Math. Hungar.,**169**(2), 524–533. arXiv: 2210.12836 DOI: 10.1007/s10474-023-01318-6 MR: 4594315 -
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 size \aleph_1. - Version 2023-03-05_3 (7p) published version (10p)

Bib entry

@article{Sh:1123, author = {Shelah, Saharon and Verner, Jonathan L.}, title = {{Ramsey partitions of metric spaces}}, journal = {Acta Math. Hungar.}, fjournal = {Acta Mathematica Hungarica}, volume = {169}, number = {2}, year = {2023}, pages = {524--533}, issn = {0236-5294}, mrnumber = {4594315}, mrclass = {03E02 (05C55)}, doi = {10.1007/s10474-023-01318-6}, note = {\href{https://arxiv.org/abs/2210.12836}{arXiv: 2210.12836}}, arxiv_number = {2210.12836} }