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