Let $G_k(\mathbb{R}^n)$ be the grassmannian consisting of all $k$-subspaces in $\mathbb{R}^n$.
How to compute the cohomology ring
$$H^*(G_k(\mathbb{R}^n);\mathbb{Z})$$
and what is the result?
Let $G_k(\mathbb{R}^n)$ be the grassmannian consisting of all $k$-subspaces in $\mathbb{R}^n$.
How to compute the cohomology ring
$$H^*(G_k(\mathbb{R}^n);\mathbb{Z})$$
and what is the result?
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