MODEL STRUCTURES ON TRIANGULATED CATEGORIES

DOI10.1017/S0017089514000299zbMath1316.18015OpenAlexW2011906046MaRDI QIDQ5248707

Xiao Yan Yang

Publication date: 8 May 2015

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089514000299

zbMATH Keywords

triangulated categorymodel structurerelative homological algebra

Mathematics Subject Classification ID

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

Related Items (8)

Hearts of twin cotorsion pairs on extriangulated categories ⋮ Resolving subcategories of triangulated categories and relative homological dimension ⋮ Representation theory of quivers and finite-dimensional algebras. Abstracts from the workshop held February 12--18, 2023 ⋮ A new method to construct model structures from left Frobenius pairs in extriangulated categories ⋮ Proper resolutions and Gorensteinness in extriangulated categories ⋮ Proper classes and Gorensteinness in extriangulated categories ⋮ Resolving resolution dimensions in triangulated categories ⋮ Localization of extriangulated categories

Cites Work

• Model structures on exact categories
• Gorenstein objects in triangulated categories
• Cotorsion pairs, model category structures, and representation theory
• Relative homological algebra and purity in triangulated categories
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Exact categories
• Triangulated Categories

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