Peter J. Cameron, A. M. Vershik
Abstract
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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.
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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.
Key concepts: Isometry group, Isometry (Riemannian geometry), Mathematics, Urysohn and completely Hausdorff spaces, Abelian group, Metric space, Homogeneous, Group (periodic table)