Academic Journal

BREDON COHOMOLOGY OF FINITE DIMENSIONAL Cp-SPACE.

Bibliographic Details
Title: BREDON COHOMOLOGY OF FINITE DIMENSIONAL Cp-SPACE.
Authors: BASU, SAMIK1 samik.basu2@gmail.com, GHOSH, SUROJIT2 surojit@math.haifa.ac.il
Superior Title: Homology, Homotopy & Applications. 2021, Vol. 23 Issue 2, p33-57. 25p.
Subject Terms: *RING theory, *FINITE, The
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. [ABSTRACT FROM AUTHOR]
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