Some isometry groups of the Urysohn space

P. J. Cameron; A. M. Vershik

doi:10.1016/j.apal.2005.08.001

Some isometry groups of the Urysohn space

P. J. Cameron, A. M. Vershik^*

^*Corresponding author for this work

Centre for Interdisciplinary Research in Computational Algebra

Research output: Contribution to journal › Article › peer-review

Abstract

We construct various isometry groups of the 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.

Original language	English
Pages (from-to)	70-78
Number of pages	9
Journal	Annals of Pure and Applied Logic
Volume	143
Issue number	1-3
DOIs	https://doi.org/10.1016/j.apal.2005.08.001
Publication status	Published - 1 Nov 2006

Access to Document

10.1016/j.apal.2005.08.001

Cite this

@article{696f1eb0ea614a82ad5690c333d74f13,

title = "Some isometry groups of the Urysohn space",

abstract = "We construct various isometry groups of the 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.",

author = "Cameron, {P. J.} and Vershik, {A. M.}",

year = "2006",

month = nov,

day = "1",

doi = "10.1016/j.apal.2005.08.001",

language = "English",

volume = "143",

pages = "70--78",

journal = "Annals of Pure and Applied Logic",

issn = "0168-0072",

publisher = "Elsevier",

number = "1-3",

}

TY - JOUR

T1 - Some isometry groups of the Urysohn space

AU - Cameron, P. J.

AU - Vershik, A. M.

PY - 2006/11/1

Y1 - 2006/11/1

N2 - We construct various isometry groups of the 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.

AB - We construct various isometry groups of the 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.

U2 - 10.1016/j.apal.2005.08.001

DO - 10.1016/j.apal.2005.08.001

M3 - Article

AN - SCOPUS:33750631228

SN - 0168-0072

VL - 143

SP - 70

EP - 78

JO - Annals of Pure and Applied Logic

JF - Annals of Pure and Applied Logic

IS - 1-3

ER -

Some isometry groups of the Urysohn space

Abstract

Access to Document

Fingerprint

Cite this