Extension and reconstruction theorems for the Urysohn universal metric space

Details Extension and reconstruction theorems for the Urysohn universal metric space Extension and reconstruction theorems for the Urysohn universal metric space

2005-04-18

arxiv.org/abs/math/0504357v2

Mathematics

Metric Geometry

Final and shortened version, 25 pages, to appear in Czechoslovak Math. J

Scientific paper

We prove some extension theorems involving uniformly continuous maps of the
universal Urysohn space. We also prove reconstruction theorems for certain
groups of autohomeomorphisms of this space and of its open subsets.

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