Geodesic
Extension and reconstruction theorems for the Urysohn universal metric space
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 1-29

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{CMJ_2010__60_1_a0,
     author = {Kubi\'s, Wies{\l}aw and Rubin, Matatyahu},
     title = {Extension and reconstruction theorems for the {Urysohn} universal metric space},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1--29},
     publisher = {mathdoc},
     volume = {60},
     number = {1},
     year = {2010},
     mrnumber = {2595067},
     zbl = {1224.22010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010__60_1_a0/}
}
TY  - JOUR
AU  - Kubiś, Wiesław
AU  - Rubin, Matatyahu
TI  - Extension and reconstruction theorems for the Urysohn universal metric space
JO  - Czechoslovak Mathematical Journal
PY  - 2010
SP  - 1
EP  - 29
VL  - 60
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2010__60_1_a0/
LA  - en
ID  - CMJ_2010__60_1_a0
ER  - 
%0 Journal Article
%A Kubiś, Wiesław
%A Rubin, Matatyahu
%T Extension and reconstruction theorems for the Urysohn universal metric space
%J Czechoslovak Mathematical Journal
%D 2010
%P 1-29
%V 60
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2010__60_1_a0/
%G en
%F CMJ_2010__60_1_a0
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/