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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..
The monoidal categories determined by the quantum groups are all generalisations of the idea that the representations of a group form a monoidal category.. The corresponding
One of the axioms for a cartesian bicategory requires that the locally full subbicategory determined by the left adjoint arrows admits all finite products in the sense of bilimits..
(iv) The homotopy category obtained from the category of small symmetric monoidal categories and strictly unital op-lax maps by inverting the weak equivalences.. (v) The
This article deals with Chogoshvili cohomotopy functors which are defined by extending a cohomology functor given on some special auxiliary subcategories of the category of
Moreover, by restricting to the category of sets and partial functions, we rediscover the equivalence between the category of locally compact Hausdorff spaces with continuous and
To give a 2-monad on a locally-discrete 2-category is just to give a monad on the corresponding category; and thus all that has gone before can be applied to ordinary monads
The context of enriched sheaf theory introduced in the author’s thesis provides a convenient viewpoint for models of the stable homotopy category as well as categories of finite
