Title: Bredon cohomology of finite dimensional $C_p$-spaces
Abstract:For finite dimensional free C p -spaces, the calculation of the Bredon cohomology ring as an algebra over the cohomology of S 0 is used to prove the non-existence of certain C p -maps.These are relate...For finite dimensional free C p -spaces, the calculation of the Bredon cohomology ring as an algebra over the cohomology of S 0 is used to prove the non-existence of certain C p -maps.These are related to Borsuk-Ulam type theorems, and equivariant maps related to the topological Tverberg conjecture.For certain finite dimensional C p -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.Read More