Metric spaces are Ramsey

Abstract

We prove that the class of all ordered finite metric spaces is a Ramsey class. This solves a problem of A.

S. Kechris, V.

G. Pestov and S.

Todor\v cevi\' c [Geom. Funct.

Anal. 15, 106--189 (2005; Zbl 1084.54014)].

Keywords

• Metric
• spaces
• Ramsey