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Rips Theory

  • Michael Kapovich
Chapter
Part of the Modern Birkhäuser Classics book series (MBC)

Abstract

Consider a pared 3-manifold (M, P) with incompressible boundary \(\partial_0 M\); let WM be the window of (M, P) and let G= π1 (M). We call an action G↷ (M) on a metric tree relatively elliptic (with respect to P) if the fundamental group of each component of the parabolic locus P has a global fixed point in T. The following theorem is crucial for the proof of the Hyperbolization Theorem as presented in this book.

Keywords

Fundamental Group Vertex Group Measured Foliation Band Complex Transversal Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 2009

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of California, DavisDavisU.S.A.

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