nLab infinitary monoidal category

Idea

A infinitary monoidal category is a generalisation of the concept of a monoidal category in which there are not only tensor product operations of finite arity, but also of countable arity.

Related concepts

• monoidal category

References

Infinitary monoidal categories are introduced as $\omega$-monoidal categories, and infinitary symmetric monoidal categories are introduces as series monoidal categories in the following (see the related n-Café post):

• George Janelidze and Ross Street. “Real sets.” Tbilisi mathematical journal 10.3 (2017): 23-49.

See also:

• $\infty$-ary tensor product on a category, MathOverflow discussion, (url)