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Gromov's theory of multicomplexes with applications to bounded cohomology and simplicial volume
The simplicial volume is a homotopy invariant of manifolds introduced by Gromov in his pioneering paper Volume and bounded cohomology. In order to study the main properties of simplicial volume, Gromov himself initiated the dual theory of bounded cohomology, which then developed into a very active a...
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| Autres auteurs : | |
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Gromov's theory of multicomplexes with applications to bounded cohomology and simplicial volume / Roberto Frigerio, Marco Moraschini |
| Publié : |
Providence (R.I.) :
AMS, American Mathematical Society
, 2023 |
| Description matérielle : | 1 vol. (VI-153 p.) |
| Collection : | Memoirs of the American Mathematical Society ; 1402 |
| Sujets : | |
| Documents associés : | Autre format:
Gromov's theory of multicomplexes with applications to bounded cohomology and simplicial volume |
- Introduction
- Part 1. The General Theory of Multicomplexes : Chapter 1. Multicomplexes
- Chapter 2. The Singular Multicomplex
- Chapter 3. The Homotopy Theory of Complete Multicomplexes
- Part 2. Multicomplexes, Bounded Cohomology and Simplicial Volume : Chapter 4. Bounded Cohomology of Multicomplexes
- Chapter 5. The Mapping Theorem
- Chapter 6. The Vanishing Theorem
- Part 3. The Simplicial Volume of Open Manifolds : Chapter 7. Finiteness and Vanishing Theorems
- Chapter 8. Diffusion of Chains
- Chapter 9. Admissible Submulticomplexes of K(X)
- Chapter 10. Diffusion of Locally Finite Chains
- Chapter 11. Some Results on the Simplicial Volume
- Bibliography