Monoidal multicategory

Last updated Aug 28, 2024

See also: strict monoidal multicategory, where I detail the equations.

Remark. Multifunctors between representable multicategories are lax monoidal functors, and multinatural transformations are lax monoidal transformations. This implies that a representable monoidal multicategory is exactly a duoidal category.

See also.

• strict monoidal multicategory

References

• nLab, Mike Shulman: Virtual duoidal category.