Syzygies and homotopy theory
The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much more problematic and far less well understood. S...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2012. |
| Col·lecció: | Algebra and Applications
17 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Syzygies and homotopy theory, by F.E.A. Johnson, London, Springer, 2012, 1 vol. (XXIV-294 p., Algebra and applications, 978-1-447-12293-7 |
Taula de continguts:
- Preliminaries The restricted linear group The calculus of corners and squares Extensions of modules The derived module category Finiteness conditions The Swan mapping Classification of algebraic complexes Rings with stably free cancellation Group rings of cyclic groups Group rings of dihedral groups Group rings of quaternionic groups Parametrizing W1 (Z) : generic case Parametrizing W1 (Z) : singular case Generalized Swan modules Parametrizing W1 (Z) : G = C F Conclusion