Homotopy torsion theories

DOI10.1016/j.jpaa.2024.107742MaRDI QIDQ6597179

Sandra Mantovani, Mariano Messora, Enrico M. Vitale

Publication date: 3 September 2024

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

zbMATH Keywords

factorization systemtorsion theoryarrow categoryhomotopy kernelnullhomotopy

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Higher categories and homotopical algebra (18N99)

Cites Work

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• Lax orthogonal factorisation systems
• Factorization, fibration and torsion
• Factorization systems as Eilenberg-Moore algebras
• On localization and stabilization for factorization systems
• Simplicial homotopical algebra and satellites
• On fibrations between internal groupoids and their normalizations
• Lax factorization algebras
• Pretorsion theories, stable category and preordered sets
• Pretorsion theories in general categories
• Pull-Backs in Homotopy Theory
• A Torsion Theory for Abelian Categories
• Combinatorial homotopy. II

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