Extension and reconstruction theorems for the Urysohn universal metric space

0340550 - MÚ 2010 RIV CZ eng J - Článek v odborném periodiku
Kubiś, Wieslaw - Rubin, M.
Extension and reconstruction theorems for the Urysohn universal metric space.
Czechoslovak Mathematical Journal. Roč. 60, č. 1 (2010), s. 1-29. ISSN 0011-4642. E-ISSN 1572-9141
Grant CEP: GA AV ČR IAA100190901
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: Urysohn space * bilipschitz homeomorphism * modulus of continuity * reconstruction theorem * extension theorem
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.265, rok: 2010
http://dml.cz/handle/10338.dmlcz/140544

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.
Trvalý link: http://hdl.handle.net/11104/0183764