4 citations · 16 across the 17 of their papers we have counts for
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Oscillation of Urysohn type spaces
Norbert Sauer
A metric space $\mathrm{M}=(M;\de)$ is {\em homogeneous} if for every isometry of a finite subspace of to a subspace of there exists an isometry of $\…
Some weak indivisibility results in ultrahomogeneous metric spaces
L. Nguyen Van Thé, N. W. Sauer
We study the validity of a partition property known as weak indivisibility for the integer and the rational Urysohn metric spaces. We also compare weak indivisiblity to another par…
The Urysohn sphere is oscillation stable
L. Nguyen Van Thé, N. W. Sauer
We solve the oscillation stability problem for the Urysohn sphere, an analog of the distortion problem for the Hilbert space in the context of the Urysohn universal metric space. T…
Indivisible ultrametric spaces
Christian Delhommé, Claude Laflamme, Maurice Pouzet +1
A metric space is indivisible if for any partition of it into finitely many pieces one piece contains an isometric copy of the whole space. Continuing our investigation of indivisi…