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The monoidal centre as a limit

Ross Street
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Abstract

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.

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Ross Street. 2003-04-04. The monoidal centre as a limit. https://arxiv.org/abs/math/0304053

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