| Description |
1 online resource (v, 108 pages) : illustrations |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; volume 237, number 1122 |
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Memoirs of the American Mathematical Society ; no. 1122.
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| Contents |
Introduction -- Technical preliminaries -- Preliminaries on groupoids and pseudogroups -- Hyperbolic groupoids -- Smale quasi-flows and duality -- Examples of hyperbolic groupoids and their duals -- Bibliography -- Index |
| Summary |
The author introduces a notion of hyperbolic groupoids, generalizing the notion of a Gromov hyperbolic group. Examples of hyperbolic groupoids include actions of Gromov hyperbolic groups on their boundaries, pseudogroups generated by expanding self-coverings, natural pseudogroups acting on leaves of stable (or unstable) foliation of an Anosov diffeomorphism, etc. The author describes a duality theory for hyperbolic groupoids. He shows that for every hyperbolic groupoid \mathfrak{G} there is a naturally defined dual groupoid \mathfrak{G}̂\top acting on the Gromov boundary of a Cayley graph of \ |
| Bibliography |
Includes bibliographical references (pages 103-105) and index |
| Notes |
"Volume 237, number 1122 (sixth of 6 numbers), September 2015." |
|
Online resource; title from PDF title page (viewed October 6, 2015) |
| Subject |
Hyperbolic groups.
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Groupoids.
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Group theory.
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Duality theory (Mathematics)
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Duality theory (Mathematics)
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Group theory
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Groupoids
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Hyperbolic groups
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| Form |
Electronic book
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| Author |
American Mathematical Society, publisher
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| ISBN |
9781470425111 |
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1470425114 |
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