The monoidal centre as a limit

Ross Street – 26 March 2003

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 talk provides a universal construction in a braided monoidal bicategory that produces a braided monoidal object from any monoidal object. Properties and the existence of the construction are examined.