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And so I did, applying the coequalizer of the kernel pair process to the reflection of the category of simplicial sets Smp into its full subcategory of the nerves of indis-
In [Barr, 2000] I showed that the full subcategory of the category of (real or complex) topological vector spaces that consists of the Mackey spaces (defined in 3.3 below)is ∗
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
d - Space of d-spaces (in the sense of [11]) is topological and its full subcategory generated by suitably ordered cubes is our proposed convenient category for directed homotopy..
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
chain theories (cf. There exists a functor E from the category of chain theories of the second kind into the category of simplicial abelian group spectra... 4.3. Follows
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
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
