Geodesic
Operads for Symmetric Monoidal Categories
Theory and applications of categories, Tome 39 (2023), pp. 535-544
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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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Classification : 18M05
Keywords: symmetric monoidal category, operad 
@article{TAC_2023_39_a17,
     author = {A. D. Elmendorf},
     title = {Operads for {Symmetric} {Monoidal} {Categories}},
     journal = {Theory and applications of categories},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2023_39_a17/}
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A. D. Elmendorf. Operads for Symmetric Monoidal Categories. Theory and applications of categories, Tome 39 (2023), pp. 535-544. http://geodesic.mathdoc.fr/item/TAC_2023_39_a17/