Sh:1123
- Shelah, S., & Verner, J. L. Ramsey partitions of metric spaces. Journal of Combinatorial Theory. Preprint.
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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. - Current version: 2018-01-22 (6p)
Bib entry
@article{Sh:1123, author = {Shelah, Saharon and Verner, Jonathan L.}, title = {{Ramsey partitions of metric spaces}}, journal = {Journal of Combinatorial Theory} }