English

Extension and reconstruction theorems for the Urysohn universal metric space

Metric Geometry 2012-10-23 v2

Abstract

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.

Keywords

Cite

@article{arxiv.math/0504357,
  title  = {Extension and reconstruction theorems for the Urysohn universal metric space},
  author = {Wieslaw Kubiś and Matatyahu Rubin},
  journal= {arXiv preprint arXiv:math/0504357},
  year   = {2012}
}

Comments

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