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arxiv: 2503.03916 · v1 · pith:6V7MKRDK · submitted 2025-03-05 · math.CT · math.AT

Fully faithful functors and pushouts of infty-categories

Peter J. Haine , Maxime Ramzi , Jan Steinebrunner This is my paper

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classification math.CT math.AT
keywords functorscategoriesfaithfulfullypushoutsalonginftyanima
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We study stability properties of fully faithful functors, and compute mapping anima in pushouts of $\infty$-categories along fully faithful functors. We provide applications of these calculations to pushouts along Dwyer functors and Reedy categories.

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    Exotic spheres Σ^d (d ≢ 1 mod 4) are detected by the homotopy type of their truncated Disc-presheaf under conditions established via gluing, duality, and mapping class group computations.