BREDON COHOMOLOGY OF FINITE DIMENSIONAL Cp-SPACES

Authors

Samik Basu, Indian Statistical Institute, Kolkata
Surojit Ghosh, Indian Statistical Institute, Kolkata
J. P.C. Greenlees, University of Haifa

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

Recommended Citation

Basu, Samik; Ghosh, Surojit; and Greenlees, J. P.C., "BREDON COHOMOLOGY OF FINITE DIMENSIONAL Cp-SPACES" (2021). Journal Articles. 2200.
https://digitalcommons.isical.ac.in/journal-articles/2200