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Beyond Hyperbolicity 1st Edition by Mark Hagen, Richard Webb, Henry Wilton ISBN 978-1108577359 1108577359

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Beyond Hyperbolicity 1st Edition Mark Hagen Digital Instant Download

Author(s): Mark Hagen, Richard Webb, Henry Wilton
ISBN(s): 9781108447294, 1108447295
Edition: 1
File Details: PDF, 1.98 MB
Year: 2019
Language: english
SKU: EB-56586348 Category: Tags: , ,

Beyond Hyperbolicity 1st Edition by Mark Hagen,  Richard Webb, Henry Wilton- Ebook PDF Instant Download/Delivery: 978-1108577359,  1108577359 
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Product details: 

ISBN 10: 1108577359 

ISBN 13: 978-1108577359

Author: Mark Hagen,  Richard Webb, Henry Wilton

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.

Table of contents: 

Part I. Lectures

  1. Notes on coarse median spaces

  2. Semihyperbolicity

  3. Acylindrically hyperbolic groups

Part II. Expository Articles
4. A survey on Morse boundaries and stability
5. What is a hierarchically hyperbolic space?

Part III. Research Articles
6. A counterexample to questions about boundaries, stability, and commensurability
7. A note on the acylindrical hyperbolicity of groups acting on CAT(0) cube complexes
8. Immutability is not uniformly decidable in hyperbolic groups
9. Sphere systems, standard form, and cores of products of trees
10. Uniform quasiconvexity of the disc graphs in the curve graphs

 

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Tags: Mark Hagen, Richard Webb, Henry Wilton, Beyond Hyperbolicity