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Beyond hyperbolicity / edited by Mark Hagen, Richard Webb, Henry Wilton.
- Format:
- Book
- Series:
- London Mathematical Society lecture note series ; 454.
- London Mathematical Society lecture note series ; 454
- Language:
- English
- Subjects (All):
- Geometry, Hyperbolic.
- Geometry, Non-Euclidean.
- Mathematical physics.
- Physical Description:
- 1 online resource (x, 231 pages) : digital, PDF file(s).
- Place of Publication:
- Cambridge : Cambridge University Press, 2019.
- Language Note:
- English
- Summary:
- Since the notion was introduced by Gromov in the 1980s, hyperbolicity of groups and spaces has played a significant role in geometric group theory; hyperbolic groups have good geometric properties that allow us to prove strong results. However, many classes of interest in our exploration of the universe of finitely generated groups contain examples that are not hyperbolic. Thus we wish to go 'beyond hyperbolicity' to find good generalisations that nevertheless permit similarly strong results. This book is the ideal resource for researchers wishing to contribute to this rich and active field. The first two parts are devoted to mini-courses and expository articles on coarse median spaces, semihyperbolicity, acylindrical hyperbolicity, Morse boundaries, and hierarchical hyperbolicity. These serve as an introduction for students and a reference for experts. The topics of the surveys (and more) re-appear in the research articles that make up Part III, presenting the latest results beyond hyperbolicity.
- Contents:
- Lectures
- ; Notes on coarse median spaces /; B. H. Bowditch
- ; Semihyperbolicity /; M. R. Bridson
- ; Acylindrically hyperbolic groups /; B. Barrett
- ; Expository Articles
- ; A survey on Morse boundaries and stability /; M. Cordes
- ; What is a hierarchically hyperbolic space? /; A. Sisto
- ; Research Articles
- ; A counterexample to questions about boundaries, stability, and commensurability /; J. Behrstock
- ; A note on the acylindrical hyperbolicity of groups acting on CAT(0) cube complexes /; I. Chatterji and A. Martin
- ; Immutability is not uniformly decidable in hyperbolic groups /; D. Groves and H. Wilton
- ; Sphere systems, standard form, and cores of products of trees /; F. Iezzi
- ; Uniform quasiconvexity of the disc graphs in the curve graphs /; K. M. Vokes.
- Notes:
- Title from publisher's bibliographic system (viewed on 28 Jun 2019).
- Includes bibliographical references and index.
- ISBN:
- 9781108577359
- 1108577350
- 9781108598491
- 1108598498
- 9781108559065
- 1108559069
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