On fundamental theorems of algebraic K-theory (Q1115960)
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scientific article; zbMATH DE number 4087893
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On fundamental theorems of algebraic K-theory |
scientific article; zbMATH DE number 4087893 |
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On fundamental theorems of algebraic K-theory (English)
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1989
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New simpler proofs of basic theorems in Quillen's algebraic K-theory of exact categories are given. The paper includes the cofinality theorem, the resolution theorem, the devissage theorem, and a localization theorem, starting each time from a basic fibration sequence up-to- homotopy constructed by Waldhausen as a part of his treatment of the K- theory of categories with cofibrations and weak equivalences.
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algebraic K-theory of exact categories
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cofinality theorem
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resolution theorem
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devissage theorem
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localization theorem
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categories with cofibrations and weak equivalences
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