| FrontmatterDownload pp. i–iv |
| PrefaceDownload pp. v–vi |
| ContentsDownload pp. vii–x |
| 1 | The Geometrisation Conjecturepp. 1–22 |
| Part I Ricci flow with bubbling-off: definitions and statementsp. 23 |
| 2 | Basic definitionspp. 25–30 |
| 3 | Piecing together necks and capspp. 31–36 |
| 4 | κ-noncollapsing, canonical geometry and pinchingpp. 37–45 |
| 5 | Ricci flow with (r,δ,κ)-bubbling-offpp. 46–56 |
| Part II Ricci flow with bubbling-off: existencepp. 57–58 |
| 6 | Choosing cutoff parameterspp. 59–74 |
| 7 | Metric surgery and proof of Proposition App. 75–87 |
| 8 | Persistencepp. 88–96 |
| 9 | Canonical neighbourhoods and the proof of Proposition Bpp. 97–107 |
| 10 | κ-noncollapsing and the proof of Proposition Cpp. 108–129 |
| Part III Long-time behaviour of Ricci flow with bubbling-offpp. 131–132 |
| 11 | The thin-thick decomposition theorempp. 133–145 |
| 12 | Refined estimates for long-time behaviourpp. 146–175 |
| Part IV Weak collapsing and hyperbolisationpp. 177–178 |
| 13 | Collapsing, simplicial volume and strategy of proofpp. 179–187 |
| 14 | Proof of the weak collapsing theorempp. 188–206 |
| 15 | A rough classification of 3-manifoldspp. 207–208 |
| A | 3-manifold topologypp. 209–212 |
| B | Comparison geometrypp. 213–216 |
| C | Ricci flowpp. 217–220 |
| D | Alexandrov spacesp. 221 |
| E | A sufficient condition for hyperbolicitypp. 222–223 |
| Bibliographypp. 225–233 |
| Indexpp. 235–237 |
