Borel's theorem
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Short description: The cohomology ring of a classifying space is a polynomial ring
In topology, a branch of mathematics, Borel's theorem, due to Armand Borel (1953), says the cohomology ring of a classifying space or a classifying stack is a polynomial ring.[1]
See also
Notes
- ↑ Behrend 2003, Theorem 5.6.
References
- Borel, Armand (1953). "Sur la cohomologie des éspaces fibrés principaux et des éspaces homogènes de groupes de Lie compacts". Annals of Mathematics 57 (1): 115–207. doi:10.2307/1969728.
- Behrend, Kai A. (2003). "Derived l-adic categories for algebraic stacks". Memoirs of the American Mathematical Society 163 (774). doi:10.1090/memo/0774.
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