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The monoidal centre as a limit

2003/04/04 by Ross Street, Street, Ross
Mathematics · #18D05 #18D10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.CT #msc:18D05 #msc:18D10

paper · pdf · doi:10.48550/arxiv.math/0304053

6 pages, pdf file of MacWrite document

arxiv created 2003/04/04 · openalex publication_date 2003/04/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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