Stable modules and the D(2)-problem / F.E.A. Johnson.

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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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Bibliographic Details
Uniform Title:London Mathematical Society lecture note series ; 301.
Main Author: Johnson, F. E. A. (Francis Edward Anthony), 1946- (Author)
Language:English
Published: Cambridge : Cambridge University Press, 2003.
Series:London Mathematical Society lecture note series ; 301.
Subjects:
Low-dimensional topology.
Homotopy theory.
Group algebras.
Online Access:
Connect to online resource - MSU authorized users (Digital Object Identifier Permalink)
Physical Description:1 online resource (ix, 267 pages) : digital, PDF file(s).
Variant Title:
Stable Modules & the D(2)-Problem.
Format: Electronic eBook
Contents:
  • 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.