Borel's theorem

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]

Not to be confused with Borel's theorem on power series.

See also

Notes
  1. Behrend 2003, Theorem 6.1.6.

References
  • Borel, Armand (1953). "Sur la cohomologie des éspaces fibrés principaux et des éspaces homogènes de groupes de Lie compacts". Annals of Mathematics. 57: 115–207. doi:10.2307/1969728. MR 0051508.CS1 maint: ref=harv (link)
  • Behrend, Kai A. (2003). "Derived l-adic categories for algebraic stacks". Memoirs of the American Mathematical Society. 163 (774). doi:10.1090/memo/0774. MR 1963494.CS1 maint: ref=harv (link)
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