Stable modules and the D(2)-problem /

This 2003 book is concerned with two fundamental problems in low-dimensional topology. Firstly, the D(2)-problem, which asks whether cohomology detects dimension, and secondly the realization problem, which asks whether every algebraic 2-complex is geometrically realizable. The author shows that for...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Johnson, F. E. A. (Francis Edward Anthony), 1946-
Format: Électronique eBook
Langue:Inglés
Publié: Cambridge, UK ; New York : Cambridge University Press, 2003.
Collection:London Mathematical Society lecture note series ; 301.
Sujets:
Low-dimensional topology.
Homotopy theory.
Group algebras.
Topologie de basse dimension.
Homotopie.
Algèbres de groupes.
MATHEMATICS > Topology.
Group algebras
Homotopy theory
Low-dimensional topology
Gruppenring
Homotopietheorie
Niederdimensionale Topologie
Grupos finitos.
Álgebra.
Accès en ligne:Texto completo
Table des matières:
  • 1. Orders in semisimple algebras
  • 2. Representation of finite groups
  • 3. Stable modules and cancellation theorems
  • 4. Relative homological algebra
  • 5. The derived category of a finite group
  • 6. k-invariants
  • 7. Groups of periodic cohomology
  • 8. Algebraic homotopy theory
  • 9. Stability theorems
  • 10. The D(2)-problem
  • 11. Poincare
  • 3 complexes.

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