Elements of Asymptotic Geometry

Front Cover
European Mathematical Society, Jan 1, 2007 - Algebraic topology - 200 pages
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Contents

The boundary at infinity
9
Busemann functions on hyperbolic spaces
23
Morphisms of hyperbolic spaces
35
QuasiMöbius and quasisymmetric maps
49
Hyperbolic approximation of metric spaces
69
Extension theorems
81
Embedding theorems
97
Basics of dimension theory
107
Asymptotic dimension
129
Basic properties
137
Applications
147
Hyperbolic dimension
159
Hyperbolic rank and subexponential corank
167
Appendix Models of the hyperbolic space H
181
Bibliography
193
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