Directory UMM :Journals:Journal_of_mathematics:TAC:
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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
This classifying topos contains as a cartesian closed reflective subcategory the category of all groupoids (= small categories in which every morphism is invertible) just as
Consider the case when V is locally finitely presentable as a closed category in the sense of [Kel82-2], and Φ is the class of finite weights as described there; this includes the
We define the notion of an additive model category and prove that any stable, additive, combinatorial model category M has a model enrichment over Sp Σ (sAb) (symmetric spectra based
(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
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
In [CKW] the theory was illustrated in detail with a section devoted to rel seen as a colax functor from the 2-category REG of regular categories, arbitrary functors, and
The balance of the paper is devoted to preserving of the projectivity and injectivity by such a tensor product of functors from any small category C to R -modules, called R C
