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Apr 15, 2011 at 10:33 comment added Ralph See also McCleary's User's guide to spectral sequences, Theorem 7.30 for a result attributed to Borel: If $G$ is a topological group with $H_\ast(G;k) = \Lambda(x_1,...,x_r)$ where $deg(x_i)$ is odd for all $i$ and $k$ is a field, then $H^\ast(BG;k) = k[y_1,...,y_r]$ with $deg(y_i) = deg(x_i) + 1.$
Apr 15, 2011 at 7:47 history answered Mark Grant CC BY-SA 3.0