Volodymyr Nekrashevych, “Hyperbolic spaces from self-similar group actions”, Algebra Discrete Math., 2003, выпуск 1,страницы 77

Эта публикация цитируется в 4 статьях

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

Аннотация: We show that the limit space of a contracting selfsimilar group action is the boundary of a naturally defined Gromov hyperbolic space.

Ключевые слова: self-similar group actions, limit space, Gromov hyperbolic spaces, boundary of a hyperbolic space.

MSC: 37B05, 37D99

Поступила в редакцию: 30.01.2003

Язык публикации: английский