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Yoneda's lemma for internal higher categories

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arxiv 2103.17141 v3 pith:WWN4VJWM submitted 2021-03-31 math.CT math.AT

Louis Martini This is my paper · ORCID
classification math.CTmath.AT
keywords internalcategorieshigherlemmayonedaarbitrarybasicconcepts
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abstract

We develop some basic concepts in the theory of higher categories internal to an arbitrary $\infty$-topos. We define internal left and right fibrations and prove a version of the Grothendieck construction and of Yoneda's lemma for internal 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. On the K-theory of algebraic tori

    math.KT 2025-07 conditional novelty 8.0 of 10

    Algebraic K-theory of a torus is naturally equivalent to the Galois-equivariant homology of its character-lattice torus with equivariant K-theory coefficients.

  2. Synthetic perspectives on spaces and categories

    math.CT 2025-10 conditional novelty 3.0 of 10

    A well-referenced exposition of path and arrow induction plus (directed) univalent universes for synthetic spaces and categories, with small strengthened lemmas and a preview of directed univalence.

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