2-category theory MOC

Delooping 2-category

In the same way that a monoid can be viewed as a category with one object, a monoidal category can be viewed as a 2-category with one object. For a monoidal category 𝖢, the delooping bicategory 𝔅𝖢 is a bicategory with 𝔅𝖢0 ={ } and 𝔅𝖢( , ) =𝖢. The 1-composition is the tensor product, the 1-identity is the tensor unit, and the coherence natural isomorphisms are the same as those of the monoidal category. #m/def/cat/2


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