Some isometry groups of Urysohn space

Details Some isometry groups of Urysohn space Some isometry groups of Urysohn space

2004-07-11

arxiv.org/abs/math/0407186v2

Mathematics

Metric Geometry

15 pages, 8 ref

Scientific paper

We constract various subgroups of the group of isometries of universal
Urysohn spaces (unique complete separable metric space which is iniversal and
homogeneous) including abelian groups which act transitively, and free groups
which are dense in the full isometry group.

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