Trees of Hyperbolic Spaces: 282 (Mathematical Surveys and Monographs) - Softcover

Kapovich, Michael

 
9781470474256: Trees of Hyperbolic Spaces: 282 (Mathematical Surveys and Monographs)
Softcover
ISBN 10: 1470474255 ISBN 13: 9781470474256
Publisher: American Mathematical Society, 2024

Synopsis

This book offers an alternative proof of the Bestvina-Feighn combination theorem for trees of hyperbolic spaces and describes uniform quasigeodesics in such spaces. As one of the applications of their description of uniform quasigeodesics, the authors prove the existence of Cannon-Thurston maps for inclusion maps of total spaces of subtrees of hyperbolic spaces and of relatively hyperbolic spaces. They also analyze the structure of Cannon-Thurston laminations in this setting. Furthermore, some group-theoretic applications of these results are discussed. This book also contains background material on coarse geometry and geometric group theory.

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About the Author

Michael Kapovich, University of California, Davis, CA, and Pranab Sardar, Indian Institute of Science Education and Research, Mohali, India.

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2024
Language
English
ISBN 10 
1470474255
ISBN 13 
9781470474256
Binding
Paperback
Number of pages
278