Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact Hausdorff spaces
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:topology differential geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Serre–Swan theorem
|
| gptkbp:influenced |
gptkb:K-theory
noncommutative geometry |
| gptkbp:namedAfter |
gptkb:Jean-Pierre_Serre
gptkb:Richard_G._Swan |
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:vector_bundles
projective modules |
| gptkbp:state |
There is an equivalence between the category of vector bundles over a compact Hausdorff space and the category of finitely generated projective modules over the ring of continuous functions on the space.
|
| gptkbp:yearProposed |
1957
|
| gptkbp:bfsParent |
gptkb:K-theory
|
| gptkbp:bfsLayer |
5
|