Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660164 | Topology and its Applications | 2008 | 30 Pages |
Abstract
This is a survey article about the geometry and dynamical properties of the Urysohn space. Most of the results presented here are part of the author's Ph.D. thesis and were published in the articles [J. Melleray, Stabilizers of closed sets in the Urysohn space, Fund. Math. 189 (1) (2006) 53–60; J. Melleray, Compact metrizable groups are isometry groups of compact metric spaces, Proc. Amer. Math. Soc. 136 (4) (2008) 1451; J. Melleray, On the geometry of Urysohn's universal metric space, Topology Appl. 154 (2007) 384–403]; a few results are new, most notably the fact that Iso(U) is not divisible.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology