vix.ing · top · new · best · stats · spec

Fully faithful functors and pushouts of ∞-categories

2025/03/05 by Peter J. Haine, Haine, Peter J., Maxime Ramzi +3
Mathematics · #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2503.03916

openalex publication_date 2025/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study stability properties of fully faithful functors, and compute mapping anima in pushouts of ∞-categories along fully faithful functors. We provide applications of these calculations to pushouts along Dwyer functors and Reedy categories.

Related