The Structure of Groups with a Quasiconvex Hierarchy : : (AMS-209) / / Daniel T. Wise.
This monograph on the applications of cube complexes constitutes a breakthrough in the fields of geometric group theory and 3-manifold topology. Many fundamental new ideas and methodologies are presented here for the first time, including a cubical small-cancellation theory generalizing ideas from t...
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Superior document: | Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English |
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2021] ©2021 |
Year of Publication: | 2021 |
Language: | English |
Series: | Annals of Mathematics Studies ;
366 |
Online Access: | |
Physical Description: | 1 online resource (376 p.) :; 166 color illus. |
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Table of Contents:
- Frontmatter
- Contents
- Acknowledgments
- Chapter One Introduction
- Chapter Two CAT(0) Cube Complexes
- Chapter Three Cubical Small-Cancellation Theory
- Chapter Four Torsion and Hyperbolicity
- Chapter Five New Walls and the B(6) Condition
- Chapter Six Special Cube Complexes
- Chapter Seven Cubulations
- Chapter Eight Malnormality and Fiber-Products
- Chapter Nine Splicing Walls
- Chapter Ten Cutting X ∗
- Chapter Eleven Hierarchies
- Chapter Twelve Virtually Special Quotient Theorem
- Chapter Thirteen Amalgams of Virtually Special Groups
- Chapter Fourteen Large Fillings Are Hyperbolic and Preservation of Quasiconvexity
- Chapter Fifteen Relatively Hyperbolic Case
- Chapter Sixteen Largeness and Omnipotence
- Chapter Seventeen Hyperbolic 3-Manifolds with a Geometrically Finite Incompressible Surface
- Chapter Eighteen Limit Groups and Abelian Hierarchies
- Chapter Nineteen Application Towards One-Relator Groups
- Chapter Twenty Problems
- References
- Index