A Quillen Theorem B for strict ∞‐categories

DOI10.1112/jlms.12220zbMath1430.18021arXiv1808.02650OpenAlexW3099473331MaRDI QIDQ4973666

Dimitri Ara

Publication date: 28 November 2019

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.02650

zbMATH Keywords

Eilenberg-Mac Lane spaceQuillen's Theorem Bcollocally homotopically constant strict $\infty$-functorstrict $\infty$-categoriesThomason equivalence

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Loop spaces (55P35) Simplicial sets and complexes in algebraic topology (55U10) Eilenberg-Mac Lane spaces (55P20) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Functor categories, comma categories (18A25) Monoidal categories, symmetric monoidal categories (18M05) ((infty,1))-categories (quasi-categories, Segal spaces, etc.); (infty)-topoi, stable (infty)-categories (18N60)

Related Items (5)

A Quillen's Theorem A for strict $\infty$-categories II: the $\infty$-categorical proof ⋮ A categorical characterization of strong Steiner \(\omega\)-categories ⋮ Homology of categories via polygraphic resolutions ⋮ 2-categorical opfibrations, Quillen's Theorem B, and \(S^{-1}S\) ⋮ Comparison of \(n\)-categorical nerves

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