Serre's theorem on the cohomology of Eilenberg–MacLane spaces
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
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| gptkbp:concerns |
gptkb:Eilenberg–MacLane_space
cohomology |
| gptkbp:field |
gptkb:topology
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| https://www.w3.org/2000/01/rdf-schema#label |
Serre's theorem on the cohomology of Eilenberg–MacLane spaces
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| gptkbp:namedAfter |
gptkb:Jean-Pierre_Serre
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| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
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| gptkbp:relatedTo |
homotopy theory
spectral sequence |
| gptkbp:state |
The cohomology ring of an Eilenberg–MacLane space K(G, n) with coefficients in a field is a free graded commutative algebra generated by certain elements depending on G and n.
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| gptkbp:yearProved |
1950s
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| gptkbp:bfsParent |
gptkb:Serre's_theorem
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| gptkbp:bfsLayer |
5
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