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arxiv: math/0604549 · v1 · pith:HWNBMOOMnew · submitted 2006-04-26 · 🧮 math.CT · math.RA

Pseudo-categories

Nelson Martins Ferreira This is my paper
classification 🧮 math.CT math.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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  1. Transposing cartesian and other structure in double categories

    math.CT 2024-04 unverdicted novelty 7.0

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