On fundamental theorems of algebraic K-theory
type: Item
instance of: scholarly article
title: On fundamental theorems of algebraic K-theory
zbMATH Open document ID: 0665.18010
DOI: 10.1007/BF00533280
author: Ross E. Staffeldt
published in: \(K\)-Theory
publication date: 1989-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 18F25
zbMATH DE Number: 4087893
zbMATH Keywords: algebraic K-theory of exact categories
zbMATH Keywords: cofinality theorem
zbMATH Keywords: resolution theorem
zbMATH Keywords: devissage theorem
zbMATH Keywords: localization theorem
zbMATH Keywords: categories with cofibrations and weak equivalences
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
cites work: Exact sequences in algebraic K-theory
cites work: Higher algebraic K-theory: I
cites work: Algebraic K-theory of generalized free products. I
cites work: Localisation de formes quadratiques $I$
full work available at URL: https://doi.org/10.1007/bf00533280
OpenAlex ID: W2000609078
description: scientific article; zbMATH DE number 4087893