Some isometry groups of the Urysohn space
نویسندگان
چکیده
منابع مشابه
Some isometry groups of Urysohn space
We construct various isometry groups of Urysohn space (the unique complete separable metric space that is universal and homogeneous), including abelian groups which act transitively, and free groups which are dense in the full isometry group.
متن کامل1 1 Ju l 2 00 4 Some isometry groups of Urysohn space
We construct various isometry groups of Urysohn space (the unique complete separable metric space which is universal and homogeneous), including abelian groups which act transitively, and free groups which are dense in the full isometry group.
متن کاملOn the isometry group of the Urysohn space
We give a general criterion for the (bounded) simplicity of the automorphism groups of certain countable structures and apply it to show that the isometry group of the Urysohn space modulo the normal subgroup of bounded isometries is a simple group.
متن کاملPolish ultrametric Urysohn spaces and their isometry groups
Article history: Received 15 July 2009 Received in revised form 2 December 2010 Accepted 5 December 2010
متن کاملHyperbolic Geometry: Isometry Groups of Hyperbolic Space
The goal of this paper is twofold. First, it consists of an introduction to the basic features of hyperbolic geometry, and the geometry of an important class of functions of the hyperbolic plane, isometries. Second, it identifies a group structure in the set of isometries, specifically those that preserve orientation, and deals with the topological properties of their discrete subgroups. In the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2006
ISSN: 0168-0072
DOI: 10.1016/j.apal.2005.08.001