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Some isometry groups of the Urysohn spaceAnnals of Pure and Applied Logic In International Meeting on Logic, Algebra and Geometry, Vol. 143, No. 1-3. (November 2006), pp. 70-78.
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AbstractWe construct various isometry groups of the Urysohn space (the unique complete separable metric space that is universal and homogeneous), including abelian groups which act transitively, and free groups which are dense in the full isometry group.
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