TY  - GEN
T1  - Beyond hyperbolicity
T2  - London Mathematical Society lecture note series ;
A2  - Hagen, Mark, 1987-
A2  - Webb, Richard, 1988-
A2  - Wilton, Henry
LA  - English
PP  - Cambridge
PB  - Cambridge University Press
YR  - 2019
UL  - https://ebooks.jgu.edu.in/Record/ebsco_acadsubs_on1108755924
AB  - 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.
OP  - 231
CN  - QA685 .B49 2019
SN  - 9781108559065
SN  - 1108559069
SN  - 9781108598491
SN  - 1108598498
SN  - 9781108447294
SN  - 1108447295
KW  - Geometry, Hyperbolic.
KW  - Geometry, Non-Euclidean.
KW  - Mathematical physics.
KW  - Géométrie hyperbolique.
KW  - Géométrie non-euclidienne.
KW  - Physique mathématique.
KW  - Física matemática
KW  - Geometry, Hyperbolic
KW  - Geometry, Non-Euclidean
KW  - Mathematical physics
KW  - Electronic book.
ER  -