Hyperbolic spaces from self-similar group actions
We show that the limit space of a contracting selfsimilar group action is the boundary of a naturally defined Gromov hyperbolic space.
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| Date: | 2003 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2003
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/154679 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Hyperbolic spaces from self-similar group actions / V. Nekrashevych // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 77–86. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We show that the limit space of a contracting selfsimilar group action is the boundary of a naturally defined Gromov
hyperbolic space. |
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