TY  - BOOK
AU  - Hagen,Mark
AU  - Webb,Richard
AU  - Wilton,Henry
TI  - Beyond hyperbolicity
T2  - London Mathematical Society lecture note series
SN  - 9781108559065 (ebook)
AV  - QA685 .B49 2019
U1  - 515/.39 23
PY  - 2019///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Geometry, Hyperbolic
KW  - Geometry, Non-Euclidean
KW  - Mathematical physics
N1  - Title from publisher's bibliographic system (viewed on 28 Jun 2019)
N2  - 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
UR  - https://doi.org/10.1017/9781108559065
ER  -