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Hyperbolic groupoids and duality / Volodymyr V. Nekrashevych.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v 237, no 1122.Publication details: Providence : American Mathematical Society, 2015.Description: v, 108 p. : illustrations ; 26 cmISBN:
  • 9781470415440 (pbk. : alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512
Contents:
Introduction -- 1. Technical preliminaries -- 2. Preliminaries on groupoids and pseudogroups -- 3. Hyperbolic groupoids -- 4. Small quasi-flows and duality -- 5. Examples of hyperbolic groupoids and their duals -- Bibliography -- Index.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 Am512 (Browse shelf(Opens below)) Available 136724
Total holds: 0

Includes bibliographical references and index.

Introduction --
1. Technical preliminaries --
2. Preliminaries on groupoids and pseudogroups --
3. Hyperbolic groupoids --
4. Small quasi-flows and duality --
5. Examples of hyperbolic groupoids and their duals --
Bibliography --
Index.

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.

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