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Article Dans Une Revue Journal of the London Mathematical Society Année : 2019

A Quillen Theorem B for strict ∞‐categories

Dimitri Ara
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Résumé

We prove a generalization of Quillen's Theorem B to strict $\infty$-categories. More generally, we show that under similar hypothesis as for Theorem B, the comma construction for strict $\infty$-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.

Dates et versions

hal-02532688 , version 1 (05-04-2020)

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Dimitri Ara. A Quillen Theorem B for strict ∞‐categories. Journal of the London Mathematical Society, 2019, 100 (2), pp.470-497. ⟨10.1112/jlms.12220⟩. ⟨hal-02532688⟩
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