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math.MG2005
Geometry in Urysohn's universal metric space
Julien Melleray
Recently, much interest was devoted to the Urysohn universal metric space U and its isometries; this paper is a contribution to this field of research. In particular, we study some…
math.MG2005
Stabilizers of closed sets in the Urysohn space
Julien Melleray
Answering a question of Gao and Kechris, we show that, given any polish group G, there exists a closed subset F of Urysohn's universal metric space U such that G is (topologically)…