I am considering the restriction homomorphism $H^p(G_n(\mathbb{R}^\infty)) \leftarrow H^p(G_n(\mathbb{R}^{n+k}))$, where the $G_n(-)$ are the relevant Grassman manifolds. Does anyone know of conditions on $p,k$ which ensure that this map is in fact an isomorphism?
Cohomology of Grassman manifolds
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algebraic-topology
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1Have you checked Milnor-Stasheff? I think p < k should suffice – 2012-04-26