Algebraic weak factorisation systems. II: Categories of weak maps.

DOI10.1016/J.JPAA.2015.06.003zbMath1327.18005arXiv1412.6560OpenAlexW1486673991MaRDI QIDQ886978

John Bourke, Richard Garner

Publication date: 27 October 2015

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

Full work available at URL: https://arxiv.org/abs/1412.6560

zbMATH Keywords

sketch2-monadspansdg-categorydouble category(co)monadalgebraic weak factorisation systemscondescendent objectsdg-monaddiscrete pullback fibrationhomological lalihomotopy-coherent mapsmodel of a sketchweak maps

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32)

Related Items (9)

Hom weak ω-categories of a weak ω-category ⋮ Unnamed Item ⋮ Algebraic weak factorisation systems. I: Accessible AWFS. ⋮ A skew approach to enrichment for Gray-categories ⋮ Skew-enriched categories ⋮ 2-categorical opfibrations, Quillen's Theorem B, and \(S^{-1}S\) ⋮ Equipping weak equivalences with algebraic structure ⋮ Iterated algebraic injectivity and the faithfulness conjecture ⋮ MODELS OF MARTIN-LÖF TYPE THEORY FROM ALGEBRAIC WEAK FACTORISATION SYSTEMS

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