… The second functor is Theorem 1.1. The third functor is factorization homology applied to
the … homology of the monoidal (∞, 1)-categories O and Oop. These values will be (∞, 1)-…

… homology and cohomology functors … homology functor, see [3]. In the following chapter, we
shall consider the case where the categories N and M are the same, where A is the category …

… functor between n-exact categories is an n-exangulated functor if and only if it is an n-exact
functor… definition for an n-exact functor in §2.2 and an n-exangulated functor in §2.3. Moreover…

… classes of 𝔼 -triangles. Moreover, we compare 𝒜 , ℬ and 𝒞 with respect to the ξ -global
dimensions of … of the ξ -global dimensions of extriangulated categories is invariant with respect to …

… then can be characterised intrinsically inside certain derived categories. On the way, a …
write 𝒢 ∘ ℱ for the composition of two functors ℱ : 𝒞 → 𝒟 and 𝒢 : 𝒟 → ℰ between additive …

… to homological methods in potentially non-abelian categories. In doing so, we build on
several … Given a pointed category X, we observe that the Hom-functor on X factors through the …

… th derived functor of $\mathfrak L$ (the functor Hom in our ambient category of Banach … in
which the derivation of functors works; rather, we will take the long homology sequences as the …

… categories, which are at the heart of the present work. It is the only chapter of the thesis that
does not contain any … Conduché ω-functor and study their relation with free ω-categories. The …

… categories. In this context, purity is very closely related to the study of covariant coproduct-preserving
homological functors … results to the (co)homological functors induced by t-structures. …

… in [KL], we construct a smooth and proper DG category C, with a DG quasi-functor C → Db
… homological epimorphism) iff both DG functors A and B are localizations (resp. homological …