Metric Measure Geometry
Gromov’s Theory of Convergence and Concentration of Metrics and Measures
Takashi Shioya
Tohoku University, Sendai, Japan
A subscription is required to access this book.
| FrontmatterDownload pp. i–iv | |
| ContentsDownload pp. v–vi | |
| IntroductionDownload pp. vii–xi | |
| 1 | Preliminaries from measure theorypp. 1–8 |
| 2 | The Lévy–Milman concentration phenomenonpp. 9–27 |
| 3 | Gromov–Hausdorff distance and distance matrixpp. 29–33 |
| 4 | Box distancepp. 35–63 |
| 5 | Observable distance and measurementpp. 65–88 |
| 6 | The space of pyramidspp. 89–101 |
| 7 | Asymptotic concentrationpp. 103–125 |
| 8 | Dissipationpp. 127–136 |
| 9 | Curvature and concentrationpp. 137–174 |
| Bibliographypp. 175–178 | |
| Indexpp. 179–182 |