Extension and reconstruction theorems for the Urysohn universal metric space

0340550 - MÚ 2010 RIV CZ eng J - Journal Article
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
R&D Projects: GA AV ČR IAA100190901
Institutional research plan: CEZ:AV0Z10190503
Keywords : Urysohn space * bilipschitz homeomorphism * modulus of continuity * reconstruction theorem * extension theorem
Subject RIV: BA - General Mathematics
Impact factor: 0.265, year: 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.
Permanent Link: http://hdl.handle.net/11104/0183764