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# Big Ramsey Degrees and Divisibility in Classes of Ultrametric Spaces

Published:2008-09-01
Printed: Sep 2008
• L. Nguyen Van Thé
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## Abstract

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
 MSC Classifications: 05C50 - Graphs and linear algebra (matrices, eigenvalues, etc.) 54E35 - Metric spaces, metrizability