Geodesic
Extension and reconstruction theorems for the Urysohn universal metric space
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 1-29 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. As an application, we prove reconstruction theorems for certain groups of autohomeomorphisms of this space and of its open subsets.
We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. As an application, we prove reconstruction theorems for certain groups of autohomeomorphisms of this space and of its open subsets.
Classification : 20E36, 22F50, 51F99, 54E40, 54H11
Keywords: Urysohn space; bilipschitz homeomorphism; modulus of continuity; reconstruction theorem; extension theorem 
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     author = {Kubi\'s, Wies{\l}aw and Rubin, Matatyahu},
     title = {Extension and reconstruction theorems for the {Urysohn} universal metric space},
     journal = {Czechoslovak Mathematical Journal},
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     year = {2010},
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     zbl = {1224.22010},
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Kubiś, Wiesław; Rubin, Matatyahu. Extension and reconstruction theorems for the Urysohn universal metric space. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 1-29. http://geodesic.mathdoc.fr/item/CMJ_2010_60_1_a0/