Math 2.0

Category theory; homological algebra Monoidal, enriched and higher categories Concept

2-category

Summary

A (strict) 2-category has objects, morphisms between objects, and 2-morphisms between parallel morphisms. The 2-morphisms compose in two directions, vertically and horizontally, and the two compositions satisfy the interchange law. The main example is the 2-category of small categories, functors and natural transformations. Formally, a 2-category is a category enriched over the category of small categories.

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Further reading

  1. Web https://en.wikipedia.org/wiki/2-category
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