The Segal Conjecture for Cyclic Groups and its Consequences
@article{Ravenel1984TheSC, title={The Segal Conjecture for Cyclic Groups and its Consequences}, author={Douglas C. Ravenel}, journal={American Journal of Mathematics}, year={1984}, volume={106}, pages={415} }
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References
SHOWING 1-10 OF 18 REFERENCES
Stable splitting of $K(G,\,1)$
- Mathematics
- 1972
the splitting of the cohomology (ordinary and generalized) of K(G, 1), for finite abelian G, is realized topologically by taking suspensions. The cohomology of K(ZF,, 1), both ordinary and…
On axiomatic homology theory.
- Mathematics
- 1962
provide a protective representation of H(X) as a direct product. It is easily verified that the singular homology and cohomology theories are additive. Also the Cech theories based on infinite…
Stable homotopy and generalised homology
- Mathematics
- 1974
Preface Pt. I: S.P. Novikov's Work on Operations on Complex Cobordism 2: Cobordism groups 3: Homology 4: The Conner-Floyd Chern classes 5: The Novikov operations 6: The algebra of all operations 7:…
Equivariant function spaces and stable homotopy theory I
- Mathematics
- 1974
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On conjectures of Mahowald
- Segal and Sullivan, Math. Proc. Camb. Phil. Soc. 87
- 1980