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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.
@article{TAC_2004_13_a12, author = {Ross Street}, title = {The monoidal centre as a limit}, journal = {Theory and applications of categories}, pages = {184--190}, publisher = {mathdoc}, volume = {13}, year = {2004}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_2004_13_a12/} }
Ross Street. The monoidal centre as a limit. Theory and applications of categories, The Carboni Festschrift, Tome 13 (2004), pp. 184-190. http://geodesic.mathdoc.fr/item/TAC_2004_13_a12/