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More precisely, the category of bicategories and weak functors is equivalent to the category whose objects are weak 2-categories and whose morphisms are those maps of opetopic
In this appendix, we present without proofs for the convenience of the reader some material about the definition of and the motivation for chain functors. a subcategory of the
In case when V is the category Ab of Abelian groups and their homomorphisms, connected functors between one-object categories (that is, homomorphisms of rings with unit) are
gory object within the category of symmetric pre-cubical categories and symmetric cubical functors, as made explicit in the preceding section, which is further equipped with
However, the connection between them and analytic functors is, beyond the category of sets, quite loose: in many-sorted sets Exam- ple 4.4(iii) below demonstrates that a wide
We construct an equivalence of monoidal categories with duality between a category of Hilbert bi-modules over M with CFTP and some natural category of bi-modules over M with 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
The main point here will be the observation that the category Gp has not only its change of base functors, with respect to the fibration π of pointed objects, conservative (this is
