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9. Specializations and ACV²F

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Non-Archimedean Tame Topology and Stably Dominated Types

This chapter is in the book Non-Archimedean Tame Topology and Stably Dominated Types

© 2016 Princeton University Press, Princeton

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© 2016 Princeton University Press, Princeton

You are currently not able to access this content.

Chapters in this book

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

https://doi.org/10.1515/9781400881222-009

Chapters in this book

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

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