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Categories: Theorems in algebraic topology, Differential topology, Commutative algebra, K-theory, Articles with short description
EN
Serre–Swan theorem  Serre-Swan theorem  Swan's theorem  Swan theorem
EN
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". Wikipedia
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EN
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". Wikipedia
Mathematical theorem Wikidata
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theorem
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Serre–Swan theorem
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Serre–Swan theorem
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EN
Serre-Swan theorem, Swan's theorem, Swan theorem

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