Compatible weak factorization systems and model structures

DOI10.1016/J.JPAA.2024.107821MaRDI QIDQ6671739

Li Liang, Zhenxing Di, Liping Li

Publication date: 27 January 2025

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

cotorsion pairweak factorization system(abelian) model structure

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Cites Work

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• Constructions of factorization systems in categories
• Cotorsion pairs, model category structures, and representation theory
• Relative homological algebra
• The Frobenius condition, right properness, and uniform fibrations
• Models for singularity categories.
• Homotopical algebra
• Rational homotopy theory
• Derived, coderived, and contraderived categories of locally presentable abelian categories
• Topological and Simplicial Models of Identity Types
• How to construct a Hovey triple from two cotorsion pairs
• The effective model structure and -groupoid objects
• The Constructive Kan–Quillen Model Structure: Two New Proofs
• Every homotopy theory of simplicial algebras admits a proper model

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