BREDON COHOMOLOGY OF FINITE DIMENSIONAL Cp-SPACES
Homology, Homotopy and Applications
For finite dimensional free Cp-spaces, the calculation of the Bredon cohomology ring as an algebra over the cohomology of S0 is used to prove the non-existence of certain Cp-maps. These are related to Borsuk-Ulam type theorems, and equivariant maps related to the topological Tverberg conjecture. For certain finite dimensional Cp-spaces which are formed out of representations, it is proved that the cohomology is a free module over the cohomology of a point. All the calculations are done for the cohomology with constant coefficients Z/p.
Basu, Samik; Ghosh, Surojit; and Greenlees, J. P.C., "BREDON COHOMOLOGY OF FINITE DIMENSIONAL Cp-SPACES" (2021). Journal Articles. 2200.
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