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Pseudo-categories

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arxiv math/0604549 v1 pith:HWNBMOOM submitted 2006-04-26 math.CT math.RA

Nelson Martins Ferreira This is my paper · ORCID
classification math.CTmath.RA
keywords categorydoubleinternalpseudo-categoriesweakbicategorycalledcomplete
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We provide a complete description of the category of pseudo-categories (including pseudo-functors, natural and pseudo-natural transformations and pseudo modifications). A pseudo-category is a non strict version of an internal category. It was called a weak category and weak double category in some earlier papers. When internal to Cat it is at the same time a generalization of a bicategory and a double category.

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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. An equivalence theorem for algebraic and functorial QFT

    math-ph 2025-04 conditional novelty 8.0 of 10

    A new n-to-1 Lorentzian bordism pseudo-operad makes additive time-slice AQFTs equivalent to functorial QFTs.

  2. Transposing cartesian and other structure in double categories

    math.CT 2024-04 unverdicted novelty 7.0 of 10

    Every double category with iso-strong finite products has an underlying cartesian bicategory, via transposition of natural transformations and adjunctions extending companions and conjoints.

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