Contents

Chapters in this book

1. Frontmatter i
2. Contents v
3. 1. Introduction 1
4. 2. Preliminaries 8
5. 3. The space v̂ of stably dominated types 37
6. 4. Definable compactness 57
7. 5. A closer look at the stable completion 70
8. 6. Γ-internal spaces 76
9. 7. Curves 92
10. 8. Strongly stably dominated points 104
11. 9. Specializations and ACV²F 119
12. 10. Continuity of homotopies 142
13. 11. The main theorem 154
14. 12. The smooth case 177
15. 13. An equivalence of categories 183
16. 14. Applications to the topology of Berkovich spaces 187
17. Bibliography 207
18. Index 211
19. List of notations 215