Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-26T00:45:16.186Z Has data issue: false hasContentIssue false
  • English
  • Français

Representing Tate cohomology of G-spaces

Published online by Cambridge University Press:  20 January 2009

J. P. C. Greenlees
J. P. C. Greenlees
Affiliation:
DPMMS, 16 Mill Lane, Cambridge, CB2 1SB Department of Mathematics, National University of Singapore, Singapore 0511
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Tate cohomology of finite groups [5] is very good at emphasising periodic cohomological behaviour and hence at the study of free actions on spheres [8]. Tate cohomology of spaces was introduced by Swan [10] for finite dimensional spaces to systematically ignore free actions, and hence to simplify various arguments in fixed point theory.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 30 , Issue 3 , October 1987 , pp. 435 - 443
Copyright
Copyright © Edinburgh Mathematical Society 1987

References

REFERENCES

1.Adams, J. F., Prerequisites for Carlsson's Lecture, Lecture Notes in Maths. 1051 (Springer-Verlag, 1984), 483–532.Google Scholar
2.Boardman, J. M., Conditionally convergent spectral sequences (The Johns Hopkins University, 1981), preprint.Google Scholar
3.Borel, A., Seminar on Transformation Groups (Chapter IV) (Princeton University Press, Princeton, 1960).Google Scholar
4.Brown, K. S., Cohomology of Groups (Springer-Verlag, New York-Heidelberg-Berlin, 1982).CrossRefGoogle Scholar
5.Cartan, H. and Eilenberg, S., Homological Algebra (Princeton University Press, Princeton, 1956).Google Scholar
6.Greenlees, J. P. C., Adams Spectral Sequences in Equivariant Topology (Thesis, Cambridge University, 1985).Google Scholar
7.Lewis, L. G., May, J. P., Mcclure, J. and Steinberger, M., Equivariant Stable Homotopy Theory (Lecture Notes in Maths. 1213, Springer-Verlag, 1986).CrossRefGoogle Scholar
8.Madsen, I., Thomas, C. B. and Wall, C. T. C., The topological spherical space form problem II, Topology 15 (1976), 375–382.CrossRefGoogle Scholar
9.May, J. P., The completion conjecture in equivariant cohomology (Lecture Notes in Maths. 1051, Springer-Verlag, 1984), 620–637.Google Scholar
10.Swan, R. G., A new method in fixed point theory, Comment. Math. Helv. 34 (1960), 1–16.CrossRefGoogle Scholar
11.Waner, S., Equivariant RO(G)-graded singular cohomology (Princeton, 1979), preprint.Google Scholar