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Fully faithful functors and pushouts of $\infty$-categories

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

Peter J. Haine , Maxime Ramzi , Jan Steinebrunner This is my paper · ORCID
classification math.CTmath.AT
keywords functorscategoriesfaithfulfullypushoutsalonginftyanima
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abstract

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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The motivic fundamental groupoid at tangential basepoints

    math.AG 2025-10 conditional novelty 8.0 of 10

    A general motivic fundamental groupoid at tangential basepoints is constructed over any field, with Betti and de Rham realizations matching the classical fundamental torsor and periods given by regularized iterated integrals.

  2. The Gray Product of $(\infty, n)$-Categories via Lax Grids

    math.CT 2026-06 unverdicted novelty 7.0 of 10

    Univalent Segal sheaves on lax grids are monoidally equivalent to (∞,n)-categories with Campion's Gray product, constructed by Day convolution.

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