The monoidal centre as a limit

Ross Street

The centre of a monoidal category is a braided monoidal category. Monoidal categories are monoidal objects (or pseudomonoids) in the monoidal bicategory of categories. This paper provides a universal construction in a braided monoidal bicategory that produces a braided monoidal object from any monoidal object. Some properties and sufficient conditions for existence of the construction are examined.

Keywords: braiding, centre, pseudofunctor, descent

2000 MSC: 18D10

Theory and Applications of Categories, Vol. 13, 2004, No. 13, pp 184-190.

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