On the isometry group of the Urysohn space

被引：23

作者：

Tent, Katrin ^{[1
]}

Ziegler, Martin ^{[2
]}

机构：

[1] Univ Munster, Inst Math, D-48149 Munster, Germany

[2] Univ Freiburg, Math Inst, D-79104 Freiburg, Germany

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2013年 / 87卷

关键词：

D O I：

10.1112/jlms/jds027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：289 / 303

页数：15

共 50 条

[31] The space of left-invariant metrics on a Lie group up to isometry and scaling
Kodama, Hiroshi
Takahara, Atsushi
Tamaru, Hiroshi
MANUSCRIPTA MATHEMATICA, 2011, 135 (1-2) : 229 - 243
[32] The space of left-invariant metrics on a Lie group up to isometry and scaling
Hiroshi Kodama
Atsushi Takahara
Hiroshi Tamaru
Manuscripta Mathematica, 2011, 135 : 229 - 243
[33] ON THE URYSOHN NUMBER OF A TOPOLOGICAL SPACE II
Bonanzinga, Maddalena
Pansera, Bruno A.
QUAESTIONES MATHEMATICAE, 2014, 37 (03) : 445 - 449
[34] Stabilizers of closed sets in the Urysohn space
Melleray, J
FUNDAMENTA MATHEMATICAE, 2006, 189 (01) : 53 - 60
[35] The Weil–Petersson Isometry Group
Howard Masur
Michael Wolf
Geometriae Dedicata, 2002, 93 : 177 - 190
[36] On the isometry group of Lorentz manifolds
Piccione, P. (piccione.p@gmail.com), 1600, Springer Science and Business Media, LLC (26):
[37] A COUNTABLE MINIMAL URYSOHN SPACE IS COMPACT
STEPHENSON, RM
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 22 (03) : 625 - +
[38] A finite presentation of the rational Urysohn space
Hubicka, Jan
Nesetril, Jaroslav
TOPOLOGY AND ITS APPLICATIONS, 2008, 155 (14) : 1483 - 1492
[39] Constructive Urysohn Universal Metric Space
Lesnik, Davorin
JOURNAL OF UNIVERSAL COMPUTER SCIENCE, 2009, 15 (06) : 1236 - 1263
[40] The Urysohn universal metric space is homeomorphic to a Hilbert space
Uspenskij, V
TOPOLOGY AND ITS APPLICATIONS, 2004, 139 (1-3) : 145 - 149

← 1 2 3 4 5 →