Abstract

We calculate the ordinary C2-cohomology, with Burnside ring coefficients, of CPC2∞=BC2U(1), the complex projective space, a model for the classifying space for C2-equivariant complex line bundles. The RO(C2)-graded Bredon ordinary cohomology was calculated by Gaunce Lewis, but here we extend to a larger grading in order to capture a more natural set of generators. These generators include the Euler class of the tautological bundle, which lies outside of the RO(C2)-graded theory.

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