BREDON COHOMOLOGY OF FINITE DIMENSIONAL Cp-SPACES

Article Type

Research Article

Publication Title

Homology, Homotopy and Applications

Abstract

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.

First Page

33

Last Page

57

DOI

10.4310/HHA.2021.v23.n2.a3

Publication Date

1-1-2021

Comments

Open Access, Bronze, Green

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