Trees of Hyperbolic Spaces

Released on by Michael Kapovich
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  • Trees of Hyperbolic Spaces Book Detail

  • Author : Michael Kapovich
  • Release Date : 2024-08-15
  • Publisher : American Mathematical Society
  • Genre : Mathematics
  • Pages : 295
  • ISBN 13 : 1470474255
  • File Size : 59,59 MB
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Trees of Hyperbolic Spaces by Michael Kapovich PDF Summary

Book Description: 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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