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In category theory in mathematics, a 2-category is a category with "morphisms between morphisms", called 2-morphisms. A basic example is the category Cat of all (small) categories, where a 2-morphism is a natural transformation between functors.
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category displaystyle categories natural enriched weak composition strict morphisms 2-morphism small objects org also cat nlab ncatlab theory 2-morphisms transformation
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| 2-category | is a | category with | 0.90 | text |
| 2-category | is a | category of small categories | 0.90 | text |
| 2-category | is a | category enriched over Cat | 0.90 | text |
| higher category theory | instance of | it is more common to use some generalization of category theory | 0.80 | text |
| 2-category | related to A strict 2-category | By | 0.60 | section |
| 2-category | related to A strict 2-category | Hom | 0.60 | section |
| 2-category | related to A weak 2-category | The | 0.60 | section |
| 2-category | related to A weak 2-category | In | 0.60 | section |
| 2-category | related to A weak 2-category | Kan | 0.60 | section |
| 2-category | related to A weak 2-category | So | 0.60 | section |
| 2-category | related to Category of small categories | The | 0.60 | section |
| 2-category | related to Category of small categories | Hom | 0.60 | section |
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