Chapter 3. Constructions of embeddings

Chapters in this book

1. Frontmatter i
2. Preface v
3. Contents vii
4. Chapter 1. Introduction: examples of metrics, embeddings, and applications 1
5. Chapter 2. Embeddability of locally finite metric spaces into Banach spaces is finitely determined. Related Banach space theory 34
6. Chapter 3. Constructions of embeddings 80
7. Chapter 4. Obstacles for embeddability: Poincaré inequalities 105
8. Chapter 5. Families of expanders and of graphs with large girth 131
9. Chapter 6. Banach spaces which do not admit uniformly coarse embeddings of expanders 191
10. Chapter 7. Structure properties of spaces which are not coarsely embeddable into a Hilbert space 218
11. Chapter 8. Applications of Markov chains to embeddability problems 228
12. Chapter 9. Metric characterizations of classes of Banach spaces 265
13. Chapter 10. Lipschitz free spaces 308
14. Chapter 11. Open problems 328
15. Bibliography 335
16. Author index 361
17. Subject index 367