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In topology, a branch of mathematics, Borel's theorem, due to Armand Borel, says the cohomology ring of a classifying space or a classifying stack is a polynomial ring.[1]

See also

Atiyah–Bott formula


Behrend, Theorem 6.1.6.

A. Borel. Sur la cohomologie des éspaces fibrés principaux et des éspaces homogènes de groupes de Lie compacts. Annals of Mathematics, 57:115–207, 1953.
Behrend, K. Derived l-adic categories for algebraic stacks. Memoirs of the American Mathematical Society Vol. 163, 2003

Mathematics Encyclopedia

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