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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
The trivial topology on a category C determines a model structure on Cat C where we is the class of strong equivalences (homotopy equivalences), fib the class of internal functors
Our central observation is that model categories are the objects of a double category whose vertical and horizontal ar- rows are left and right Quillen functors, respectively, and
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 then prove embedding theorems: any locally small pre-Hilbert category whose monoidal unit is a simple generator embeds (weakly) monoidally into the category of pre-Hilbert spaces
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
