A freeness theorem for RO(Z/2)-graded cohomology

作者：Kronholm William C^*

来源：Topology and Its Applications, 2010, 157(5): 902-915.

DOI：10.1016/j.topol.2009.12.006

• Algebraic topology
• Equivariant topology
• Equivariant homology and cohomology
• Homology of classifying spaces

In this paper it is shown that the RO(Z/2)-graded cohomology of a certain class of Rep(Z/2)-complexes, which includes projective spaces and Grassmann manifolds, is always free as a module over the cohomology of a point when the coefficient Mackey functor is (Z/2) under bar.

• 出版日期2010-4-1