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Chapter 14. The Degree for Noncompact Fredholm Triples
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Chapters in this book
- Frontmatter i
- Preface v
- Contents vii
- Chapter 1. Introduction 1
-
Part I. Topology and Multivalued Maps
- Chapter 2. Multivalued Maps 9
- Chapter 3. Metric Spaces 59
- Chapter 4. Spaces Defined by Extensions, Retractions, or Homotopies 105
- Chapter 5. Advanced Topological Tools 129
-
Part II. Coincidence Degree for Fredholm Maps
- Chapter 6. Some Functional Analysis 147
- Chapter 7. Orientation of Families of Linear Fredholm Operators 169
- Chapter 8. Some Nonlinear Analysis 197
- Chapter 9. The Brouwer Degree 237
- Chapter 10. The Benevieri–Furi Degrees 309
-
Part III. Degree Theory for Function Triples
- Chapter 11. Function Triples 339
- Chapter 12. The Degree for Finite-Dimensional Fredholm Triples 367
- Chapter 13. The Degree for Compact Fredholm Triples 391
- Chapter 14. The Degree for Noncompact Fredholm Triples 413
- Bibliography 465
- Index of Symbols 475
- Index 477
Chapters in this book
- Frontmatter i
- Preface v
- Contents vii
- Chapter 1. Introduction 1
-
Part I. Topology and Multivalued Maps
- Chapter 2. Multivalued Maps 9
- Chapter 3. Metric Spaces 59
- Chapter 4. Spaces Defined by Extensions, Retractions, or Homotopies 105
- Chapter 5. Advanced Topological Tools 129
-
Part II. Coincidence Degree for Fredholm Maps
- Chapter 6. Some Functional Analysis 147
- Chapter 7. Orientation of Families of Linear Fredholm Operators 169
- Chapter 8. Some Nonlinear Analysis 197
- Chapter 9. The Brouwer Degree 237
- Chapter 10. The Benevieri–Furi Degrees 309
-
Part III. Degree Theory for Function Triples
- Chapter 11. Function Triples 339
- Chapter 12. The Degree for Finite-Dimensional Fredholm Triples 367
- Chapter 13. The Degree for Compact Fredholm Triples 391
- Chapter 14. The Degree for Noncompact Fredholm Triples 413
- Bibliography 465
- Index of Symbols 475
- Index 477