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- Serre–Swan_theorem abstract "In the mathematical fields of topology and K-theory, the Serre–Swan theorem, also called Swan's theorem, relates the geometric notion of vector bundles to the algebraic concept of projective modules and gives rise to a common intuition throughout mathematics: "projective modules over commutative rings are like vector bundles on compact spaces".The two precise formulations of the theorems differ somewhat. The original theorem, as stated by Jean-Pierre Serre in 1955, is more algebraic in nature, and concerns vector bundles on an algebraic variety over an algebraically closed field (of any characteristic). The complementary variant stated by Richard Swan in 1962 is more analytic, and concerns (real, complex, or quaternionic) vector bundles on a smooth manifold or Hausdorff space.".
- Serre–Swan_theorem wikiPageID "363540".
- Serre–Swan_theorem wikiPageRevisionID "494511818".
- Serre–Swan_theorem id "4066".
- Serre–Swan_theorem title "Serre-Swan theorem".
- Serre–Swan_theorem subject Category:Algebraic_topology.
- Serre–Swan_theorem subject Category:Commutative_algebra.
- Serre–Swan_theorem subject Category:Differential_topology.
- Serre–Swan_theorem subject Category:K-theory.
- Serre–Swan_theorem subject Category:Theorems_in_topology.
- Serre–Swan_theorem comment "In the mathematical fields of topology and K-theory, the Serre–Swan theorem, also called Swan's theorem, relates the geometric notion of vector bundles to the algebraic concept of projective modules and gives rise to a common intuition throughout mathematics: "projective modules over commutative rings are like vector bundles on compact spaces".The two precise formulations of the theorems differ somewhat.".
- Serre–Swan_theorem label "Serre–Swan theorem".
- Serre–Swan_theorem sameAs Serre%E2%80%93Swan_theorem.
- Serre–Swan_theorem sameAs 세르-스완_정리.
- Serre–Swan_theorem sameAs Q7455422.
- Serre–Swan_theorem sameAs Q7455422.
- Serre–Swan_theorem wasDerivedFrom Serre–Swan_theorem?oldid=494511818.