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Basic Bicategories

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arxiv math/9810017 v1 pith:67ILI7LJ submitted 1998-10-04 math.CT

Tom Leinster This is my paper · ORCID
classification math.CT
keywords basicbicategorybicategoriescoherenceconcisedefinitionguidetheorem
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A concise guide to very basic bicategory theory, from the definition of a bicategory to the coherence theorem.

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Cited by 3 Pith papers

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

  1. A Model of Type Theory in Groupoid Assemblies

    math.CT 2025-07 conditional novelty 7.0 of 10

    Groupoids internal to assemblies on a partial combinatory algebra form a pi-tribe, hence a model of dependent type theory, with a model structure, W-types, a univalent impredicative universe, and 0-type homotopy categ...

  2. Frobenius and Verschiebung for $K$-theory of endomorphisms

    math.KT 2025-07 conditional novelty 6.0 of 10

    Frobenius and Verschiebung operations are constructed on reduced K-theory of twisted endomorphisms over noncommutative rings, with the expected trace behavior.

  3. The 2-Category of Topological Quantum Computation

    quant-ph 2025-05 reject novelty 6.0 of 10

    The paper argues that a braided fusion 2-category, with anyon types as objects and fusion spaces as 1-morphisms, unifies anyonic hardware with topological quantum computing models.

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