With braiding
With duals for objects
category with duals (list of them)
dualizable object (what they have)
ribbon category, a.k.a. tortile category
With duals for morphisms
monoidal dagger-category?
With traces
Closed structure
Special sorts of products
Semisimplicity
Morphisms
Internal monoids
Examples
Theorems
In higher category theory
Background
Basic concepts
equivalences in/of -categories
Universal constructions
Local presentation
Theorems
Extra stuff, structure, properties
Models
A model for monoidal (∞,1)-categories.
A monoidal relative category is a monoidal category equipped with a relative category structure such that the monoidal product preserves weak equivalences.
The canonical functor from the quasicategorical localization of the relative category of monoidal relative categories, monoidal relative functors, and monoidal Dwyer–Kan equivalences to the quasicategory of monoidal quasicategories is a weak equivalence.
Last revised on May 1, 2025 at 05:08:34. See the history of this page for a list of all contributions to it.