Algebra Discrete Math., 2003 Issue 1, Pages 77–86
(Mi adm370)
|
This article is cited in
4 papers
RESEARCH ARTICLE
Hyperbolic spaces from self-similar group actions
Volodymyr Nekrashevych Kyiv Taras Shevchenko University, Mechanics and Mathematics Faculty, Algebra Department, Volodymyrska, 60, Kyiv, Ukraine, 01033
Abstract:
We show that the limit space of a contracting selfsimilar group action is the boundary of a naturally defined Gromov hyperbolic space.
Keywords:
self-similar group actions, limit space, Gromov hyperbolic spaces, boundary of a hyperbolic space.
MSC: 37B05,
37D99 Received: 30.01.2003
Language: English
© , 2025
Fulltext:
PDF file (187 kB)