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I can't seem to find a reference on the web that gives the Z $\mathbb{Z}$ cohomology of the Grassmann manifold of real n-planes in infinite dimensional Euclidean space and also the Bockstein maps associated with the coefficient sequence, 0 -> Z -> Z -> Z/2Z -> 0 $$0 \to \mathbb{Z} \to \mathbb{Z} \to \mathbb{Z/2Z} \to 0.$$ The real question is which products of Stiefel-Whitney classes are really Z $\mathbb{Z}$ classes. |
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Integer cohomology of the Grassman manifold of n planes i n R infinityin $R^\infty$ |
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Integer cohomology of the Grassman manifold of n planes i n R infinityI can't seem to find a reference on the web that gives the Z cohomology of the Grassmann manifold of real n-planes in infinite dimensional Euclidean space and also the Bockstein maps associated with the coefficient sequence, 0 -> Z -> Z -> Z/2Z -> 0 The real question is which products of Stiefel-Whitney classes are really Z classes.
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