The monoidal centre as a limit

Ross Street

The monoidal centre as a limit

Ross Street^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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.

Original language	English
Pages (from-to)	184-190
Number of pages	7
Journal	Theory and Applications of Categories
Volume	13
Issue number	13
Publication status	Published - 2004

Keywords

Braiding
Centre
Descent
Pseudofunctor

Cite this

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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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AB - 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.

KW - Braiding

KW - Centre

KW - Descent

KW - Pseudofunctor

UR - https://www.scopus.com/pages/publications/33646409864

M3 - Article

AN - SCOPUS:33646409864

SN - 1201-561X

VL - 13

SP - 184

EP - 190

JO - Theory and Applications of Categories

JF - Theory and Applications of Categories

IS - 13

ER -

The monoidal centre as a limit

Abstract

Keywords

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Cite this