Torsions of integral homology and cohomology of real Grassmannians
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homologyintegralrealtorsionscohomologygrassmannianaccordingcompute
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According to a result of Ehresmann, the torsions of integral homology of real Grassmannian are all of order $2$. In this note, We compute the $\mathbb{Z}_2$-dimensions of torsions in the integral homology and cohomology of real Grassmannian.
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