We define model structures on exact categories, which we call exact model structures. We
look at the relationship between these model structures and cotorsion pairs on the exact …

We show that Quillenʼs small object argument works for exact categories under very mild
conditions. This has immediate applications to cotorsion pairs and their relation to the …

Our aim is to give a fairly complete account on the construction of compatible model
structures on exact categories and symmetric monoidal exact categories, in some cases …

In this article, we develop a theory of Grothendieck's six operations for derived categories
in\'etale cohomology of Artin stacks. We prove several desired properties of the operations …

Hereditary abelian model categories | Bulletin of the London Mathematical Society | Oxford
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We put a monoidal model category structure on the category of chain complexes of quasi-
coherent sheaves over a quasi-compact and semi-separated scheme X. The approach …

A full subcategory of a Grothendieck category is called deconstructible if it consists of all
transfinite extensions of some set of objects. This concept provides a handy framework for …

We show that in a finitely accessible additive category every class of objects closed under
direct limits and pure epimorphic images is covering. In particular, the classes of flat objects …

We introduce a new categorical framework for studying derived functors, and in particular for
comparing composites of left and right derived functors. Our central observation is that …

Six operations on dg enhancements of derived categories of sheaves Page 1 Sel. Math. New
Ser. (2018) 24:1805–1911 https://doi.org/10.1007/s00029-018-0392-4 Selecta Mathematica …