Some isometry groups of Urysohn space

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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.
15 pages, 8 ref

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Metric Geometry, Group Theory, 51F22,, 20B30

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http://salesiana.dossiersoluciones.com/handle/123456789/71854

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407186
 http://arxiv.org/abs/math/0407186

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arXiv