On the torsion in the cohomology of certain mapping spaces
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چکیده
Let p be a prime, and let BV be the classifying space of an elementary abelian p-group V . J. Lannes [L1] has shown that, in many cases, the mod p cohomology of the space of continuous maps Map(BV,X) can be computed by applying an easily defined functor to H∗(X; Z/p). He lets U denote the category of unstable modules over the mod p Steenrod algebra A, and then notes that the functor H∗(BV ) ⊗ : U → U admits a left adjoint TV . The evaluation map
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تاریخ انتشار 1997