The theory of half derivators

DOI10.25537/DM.2022V27.655-698zbMath1499.18042arXiv2010.12057MaRDI QIDQ2135732

Ian Coley

Publication date: 9 May 2022

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.12057

zbMATH Keywords

derivatorsabstract homotopy theoryfibred categoryparametrized category

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Homotopical algebra, Quillen model categories, derivators (18N40)

Cites Work

• \(K\)-theory of derivators revisited
• Tilting theory for trees via stable homotopy theory
• Levelwise modules over separable monads on stable derivators
• Derivators, pointed derivators and stable derivators
• Stabilization of derivators revisited
• Homotopical exact squares and derivators
• Catégories dérivables
• Homotopy theories
• Revisiting the canonicity of canonical triangulations
• Higher Topos Theory (AM-170)
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