2018/08/31 by Dimitri Ara · 6 citations
Mathematics · #Algebra over a field #Algebraic structures and combinatorial models #Compactness theorem #Conjecture #Generalization #Geometric and Algebraic Topology #Homotopy #Homotopy and Cohomology in Algebraic Topology #Pullback #math.AT #math.CT
paper · pdf · doi:10.1112/jlms.12220
published in Journal of the London Mathematical Society 100(2), 470-497 (Wiley) · 33 pages, v2: title changed, minor modifications, references updated, journal version
openalex created_date 2018/08/22 · openalex publication_date 2019/04/15 · arxiv created 2019/09/09 · arxiv updated 2020/09/07 · openalex updated_date 2026/08/05
We prove a generalization of Quillen's Theorem B to strict ∞-categories. More generally, we show that under similar hypothesis as for Theorem B, the comma construction for strict ∞-categories, that we introduced with Maltsiniotis in a previous paper, is the homotopy pullback with respect to Thomason equivalences. We give several applications of these results including the construction of new models for certain Eilenberg–Mac Lane spaces.