Given a countable set $S$ of positive reals, we study finite-dimensional Ramsey-theoretic properties of the countable ultrametric Urysohn space $\textbf{Q} _S$ with distances in $S$.

Keywords:

Ramsey theory, Urysohn metric spaces, ultrametric spaces Ramsey theory, Urysohn metric spaces, ultrametric spaces

MSC Classifications:

05C50, 54E35 show english descriptions Graphs and linear algebra (matrices, eigenvalues, etc.)
Metric spaces, metrizability 05C50 - Graphs and linear algebra (matrices, eigenvalues, etc.)
54E35 - Metric spaces, metrizability

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