The monoidal centre as a limit

Details The monoidal centre as a limit The monoidal centre as a limit

2003-04-04

arxiv.org/abs/math/0304053v1

Mathematics

Category Theory

6 pages, pdf file of MacWrite document

Scientific paper

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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