Fibration models and localisation of categories
type: Item
instance of: scholarly article
title: Fibration models and localisation of categories
zbMATH Open document ID: 1024.18005
DOI: 10.1016/S0022-4049(02)00209-8
author: Luca Mauri
published in: Journal of Pure and Applied Algebra
publication date: 2003-04-28T00:00:00Z
review text: In this paper, the author deals with the analysis of a fibration model which extracts half of the structure of the Thomason model, much like the Baues model does for the Quillen model. It is shown that this fibration model suffices to prove the existence of the localization and to develop the basic tools of homological algebra. Since the model is weaker than those of Baues, Quillen and Thomason, the corresponding results for these models can be derived as special cases.
reviewed by: Viorel Mihai Gontineac
Mathematics Subject Classification ID: 18E35
Mathematics Subject Classification ID: 18G55
Mathematics Subject Classification ID: 18G50
Mathematics Subject Classification ID: 18D99
zbMATH DE Number: 1901789
zbMATH Keywords: small categories
zbMATH Keywords: algebraic homotopy
zbMATH Keywords: localization
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1901789