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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