Model \(\infty\)-categories. III: The fundamental theorem

zbMath1464.18022arXiv1510.04777MaRDI QIDQ2662943

Aaron Mazel-Gee

Publication date: 15 April 2021

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.04777

zbMATH Keywords

localizationmodel structure\(\infty\)-categoryhom-space

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Localization and completion in homotopy theory (55P60) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Topological categories, foundations of homotopy theory (55U40) Homotopical algebra, Quillen model categories, derivators (18N40) ((infty,1))-categories (quasi-categories, Segal spaces, etc.); (infty)-topoi, stable (infty)-categories (18N60)

Related Items (1)

Model bicategories and their homotopy bicategories

Cites Work

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• Spectral Mackey functors and equivariant algebraic \(K\)-theory. I.
• Hammocks and fractions in relative \(\infty \)-categories
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• Function complexes in homotopical algebra
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• Cosimplicial resolutions and homotopy spectral sequences in model categories
• On the Grothendieck construction for \(\infty\)-categories
• The universality of the Rezk nerve
• Model \(\infty\)-categories. II: Quillen adjunctions
• On the algebraicK-theory of higher categories
• Higher Topos Theory (AM-170)

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