Higher Structures, Vol. 8, No. 1, pp. 244-320, 2024


The symmetric monoidal 2-category of permutative categories

Nick Gurski, Niles Johnson, Angélica M. Osorno

Received December 7th 2022. Published online May 30th 2024.

Abstract:  We define a tensor product for permutative categories and prove a number of key properties. We show that this product makes the 2-category of permutative categories closed symmetric monoidal as a bicategory.
Keywords:  permutative category; symmetric monoidal bicategory
Classification MSC:  18N10, 18M05, 18D15, 19D23

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