Elements of Asymptotic Geometry
Sergei Buyalo
Steklov Institute of Mathematics, St. Petersburg, RussiaViktor Schroeder
University of Zurich, Switzerland
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| FrontmatterDownload pp. i–v | |
| ContentsDownload pp. vii–ix | |
| PrefaceDownload pp. xi–xii | |
| 1 | Hyperbolic geodesic spacespp. 1–8 |
| 2 | The boundary at infinitypp. 9–22 |
| 3 | Busemann functions on hyperbolic spacespp. 23–34 |
| 4 | Morphisms of hyperbolic spacespp. 35–47 |
| 5 | Quasi-Möbius and quasi-symmetric mapspp. 49–67 |
| 6 | Hyperbolic approximation of metric spacespp. 69–80 |
| 7 | Extension theoremspp. 81–96 |
| 8 | Embedding theoremspp. 97–105 |
| 9 | Basics of dimension theorypp. 107–128 |
| 10 | Asymptotic dimensionpp. 129–135 |
| 11 | Linearly controlled metric dimension: Basic propertiespp. 137–146 |
| 12 | Linearly controlled metric dimension: Applicationspp. 147–157 |
| 13 | Hyperbolic dimensionpp. 159–166 |
| 14 | Hyperbolic rank and subexponential corankpp. 167–179 |
| Models of the hyperbolic space pp. 181–191 | |
| Bibliographypp. 193–196 | |
| Indexpp. 197–200 |