Trees of hyperbolic spaces

By:

Kapovich, Michael

Contributor(s):

Sardar, Pranab [Co-author]

Series: Mathematical Surveys and Monographs Vol. 282Publication details: Providence, Rhode Island: MAA Press, American Mathematical Society, 2024.Description: xiii, 278p.: pbk.: 25 cmISBN:

9781470474256

Subject(s):

DDC classification:

516.9 KAP

Summary: 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. https://bookstore.ams.org/view?ProductCode=SURV/282

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Barcode
Books	IIT Gandhinagar	General	516.9 KAP (Browse shelf(Opens below))	1	Available	035205

Includes Bibliographical References and Index

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.

https://bookstore.ams.org/view?ProductCode=SURV/282

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