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
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Zusammenfassung: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.
ISSN:1201-561X