For infinite complex Grassmann manifolds, we always have embedding $\tau\colon G_m\times G_n\to G_{m+n}$, then how to prove the induced homomorphism of cohomology rings $\tau^*\colon \mathsf{H}^*(G_{m+n};\mathbb{Z})\to\mathsf{H}^*(G_m\times G_n;\mathbb{Z})$ is injective?
2026-03-25 20:14:21.1774469661
Cohomology of product Grassmann manifolds
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