Homotopy theoretic methods in group cohomology /
Saved in:
| Author / Creator: | Dwyer, William G., 1947- |
|---|---|
| Imprint: | Basel ; Boston : Birkhàˆuser, c2001. |
| Description: | viii, 98 p. ; 24 cm. |
| Language: | English |
| Series: | Advanced courses in mathematics, CRM Barcelona |
| Subject: | |
| Format: | E-Resource Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4751231 |
Table of Contents:
- Classifying Spaces and Homology Decompositions / William G. Dwyer
- 1. Introduction
- 2. Classifying spaces
- 3. Simplicial complexes and simplicial sets
- 4. Simplicial spaces and homotopy colimits
- 5. Nerves of categories and the Grothendieck construction
- 6. Homotopy orbit spaces
- 7. Homology decompositions
- 8. Sharp homology decompositions. Examples
- 9. Reinterpreting the homotopy colimit spectral sequence
- 10. Bredon homology and the transfer
- 11. Acyclicity for G-spaces
- 12. Non-identity p-subgroups
- 13. Elementary abelian p-subgroups
- 14. Appendix
- Cohomology of Groups and Unstable Modules over the Steenrod Algebra / Hans-Werner Henn
- 1. Cohomology of groups
- 2. Quillen's F-isomorphism theorem from the point of view of unstable modules
- 3. Lannes' T-functor and Lannes' generalization of Quillen's theorem
- 4. Approximations up to higher nilpotency
- 5. Commutative algebra of unstable H BG-modules; approximations of H BG up to torsion modules
- 6. The centralizer spectral sequence.
