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With the evident compositions there is a 2-category BrOpMon whose objects are braided monoidal categories, whose arrows are braided opmonoidal functors and whose 2-cells are

G induced by the functors that take values in finite sets inherits the monoidal structure and the resulting symmetric monoidal category also satisfies the exponential principle..

ized pullback and finite coproduct preserving functors between categories of permutation representations of finite groups.. Initially surprising to a category theorist, this result

But there exists a partial converse to the idea that a monoidal functor is a generalised monoid: under certain circumstances it is possible to endow a functor category K J with

We call them the left double , right double and double of the monoidal.. V

Here we consider a category of M¨obius intervals and construct the Hopf algebra via the objective approach applied to a monoidal extensive category of combinatorial objects, with

We show that every KZ- doctrine is a pseudomonad (pseudomonoid in the Gray monoid determined by an object of the Gray -category), and that the 2-categories of algebras dened

What Koslowski actually proves is that if you begin with a biclosed monoidal category there is a biclosed monoidal bicategory whose objects are the algebra objects in the