Operads for Symmetric Monoidal Categories

This paper gives an explicit description of the categorical operad whose algebras are precisely symmetric monoidal categories. This allows us to place the operad in a sequence of four, thus generating a sequence of four successively stricter concepts of symmetric monoidal category. A companion paper...

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Veröffentlicht in:	Theory and applications of categories 2023-01, Vol.39 (18), p.535
1. Verfasser:	Elmendorf, A D
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Classification Symmetry Theoretical mathematics
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description	This paper gives an explicit description of the categorical operad whose algebras are precisely symmetric monoidal categories. This allows us to place the operad in a sequence of four, thus generating a sequence of four successively stricter concepts of symmetric monoidal category. A companion paper will use this operadic presentation to describe a vast array of underlying multicategories for a symmetric monoidal category.
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title	Operads for Symmetric Monoidal Categories
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