11. APPLICATIONS TO GEOMETRY

Chapters in this book

1. Frontmatter 1
2. INTRODUCTION 3
3. 1. ETALE SITE OF A SIMPLICIAL SCHEME 7
4. 2. SHEAVES AND COHOMOLOGY 13
5. 3. COHOMOLOGY VIA HYPERCOVERINGS 20
6. 4. ETALE TOPOLOGICAL TYPE 31
7. 5. HOMOTOPY INVARIANTS 42
8. 6. WEAK EQUIVALENCES, COMPLETIONS, AND HOMOTOPY LIMITS 51
9. 7. FINITENESS AND HOMOLOGY 63
10. 8. COMPARISON OF HOMOTOPY TYPES 70
11. 9. APPLICATIONS TO TOPOLOGY 80
12. 10. COMPARISON OF GEOMETRIC AND HOMOTOPY THEORETIC FIBRES 90
13. 11. APPLICATIONS TO GEOMETRY 103
14. 12. APPLICATIONS TO FINITE CHE VALLEY GROUPS 112
15. 13. FUNCTION COMPLEXES 123
16. 14. RELATIVE COHOMOLOGY 134
17. 15. TUBULAR NEIGHBORHOODS 147
18. 16. GENERALIZED COHOMOLOGY 158
19. 17. POINCARÉ DUALITY AND LOCALLY COMPACT HOMOLOGY 170
20. REFERENCES 184
21. INDEX 188
22. Backmatter 191