Borel's theorem
{{short description|The cohomology ring of a classifying space is a polynomial ring}}
{{distinguish|Borel's theorem on power series}}
In topology, a branch of mathematics, Borel's theorem, due to {{harvs|first=Armand|last=Borel|authorlink=Armand Borel|year=1953|txt}}, says the cohomology ring of a classifying space or a classifying stack is a polynomial ring.{{harvnb|Behrend|2003|loc=Theorem 5.6.}}
See also
Notes
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References
- {{cite journal| last=Borel|first=Armand|author-link=Armand Borel| title= Sur la cohomologie des éspaces fibrés principaux et des éspaces homogènes de groupes de Lie compacts|journal=Annals of Mathematics |volume= 57|pages=115–207|year= 1953|issue=1|mr=0051508|doi=10.2307/1969728 |jstor=1969728}}
- {{cite journal
| last = Behrend | first = Kai A.
| doi = 10.1090/memo/0774
| issue = 774
| journal = Memoirs of the American Mathematical Society
| mr = 1963494
| title = Derived {{mvar|l}}-adic categories for algebraic stacks
| volume = 163
| year = 2003
| doi-access = free
}}
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