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Recollements of abelian and triangulated categories play an important role in geometry of singular spaces [3], in representation theory [4, 12], in polynomial functors theory [8, 9,
The other direction follows from the fact that the Koszul functors are quasi-inverse to each other and preserve quasi-isomorphisms because a split and extended weak module is
ized pullback and finite coproduct preserving functors between categories of permutation representations of finite groups.. Initially surprising to a category theorist, this result
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
It is the purpose of this work to describe the deformation theory of pasting diagrams of k-linear categories, functors and natural transformations.. As such, it generalizes work
This paper constructs model structures on the categories of coalgebras and pointed irreducible coalgebras over an operad whose components are projective, finitely generated in
Objects are ENCAPSULATED:Defined as their data and procedures are hidden behind an INTERFACEOne goal of OOP is to develop libraries of objects that can be shared and called into
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