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8. Continuous geometries
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Igor V. Nikolaev
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Kapitel in diesem Buch
- Frontmatter i
- Preface vii
- Contents ix
- Introduction 1
-
Part I: Basics
- 1. Model examples 5
- 2. Categories and functors 23
- 3. C∗-algebras 31
-
Part II: Noncommutative invariants
- 4. Topology 53
- 5. Algebraic geometry 101
- 6. Number theory 137
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Part III: Brief survey of NCG
- 7. Finite geometries 199
- 8. Continuous geometries 203
- 9. Connes geometries 207
- 10. Index theory 217
- 11. Jones polynomials 233
- 12. Quantum groups 239
- 13. Noncommutative algebraic geometry 243
- 14. Trends in noncommutative geometry 249
- References 253
- Index 261
Kapitel in diesem Buch
- Frontmatter i
- Preface vii
- Contents ix
- Introduction 1
-
Part I: Basics
- 1. Model examples 5
- 2. Categories and functors 23
- 3. C∗-algebras 31
-
Part II: Noncommutative invariants
- 4. Topology 53
- 5. Algebraic geometry 101
- 6. Number theory 137
-
Part III: Brief survey of NCG
- 7. Finite geometries 199
- 8. Continuous geometries 203
- 9. Connes geometries 207
- 10. Index theory 217
- 11. Jones polynomials 233
- 12. Quantum groups 239
- 13. Noncommutative algebraic geometry 243
- 14. Trends in noncommutative geometry 249
- References 253
- Index 261