Locally constant functors

DOI10.1017/S030500410900262XzbMath1185.18013arXiv0803.4342OpenAlexW2169503383MaRDI QIDQ3646107

Denis-Charles Cisinski

Publication date: 19 November 2009

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.4342

zbMATH Keywords

Bousfield localizationKan extensionGrothendieck derivatorlocally constant functor

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Related Items

Homotopy theory of algebras of substitudes and their localisation, Quantum field theories on categories fibered in groupoids, Universality of the homotopy interleaving distance, Morita cohomology, Unbounded algebraic derivators, Left Bousfield localization without left properness, Derived sections of Grothendieck fibrations and the problems of homotopical algebra, Locally constant \(n\)-operads as higher braided operads, Homotopy theory of algebraic quantum field theories, Catégories dérivables, The Morita equivalence between parametrized spectra and module spectra, Polynomial functors in manifold calculus, An extension of Quillen's theorem B, Homotopy theory for algebras over polynomial monads, Sur la conjecture de Manin pour certaines surfaces de Châtelet

Cites Work

• Higher \(K\)-theory via universal invariants
• Calculating simplicial localizations
• Cohomological direct images in model categories
• Parametrized spaces model locally constant homotopy sheaves
• Asphericity structures, smooth functors and fibrations
• Hypercovers and simplicial presheaves
• Sheafifiable homotopy model categories
• Combinatorial model categories have presentations