Model structures on exact categories
J Gillespie - Journal of Pure and Applied Algebra, 2011 - Elsevier
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 …
look at the relationship between these model structures and cotorsion pairs on the exact …
On exact categories and applications to triangulated adjoints and model structures
M Saorín, J Šťovíček - Advances in Mathematics, 2011 - Elsevier
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 …
conditions. This has immediate applications to cotorsion pairs and their relation to the …
Exact model categories, approximation theory, and cohomology of quasi-coherent sheaves
J Stovicek - arXiv preprint arXiv:1301.5206, 2013 - arxiv.org
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 …
structures on exact categories and symmetric monoidal exact categories, in some cases …
Enhanced six operations and base change theorem for higher Artin stacks
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 …
in\'etale cohomology of Artin stacks. We prove several desired properties of the operations …
Hereditary abelian model categories
J Gillespie - Bulletin of the London Mathematical Society, 2016 - academic.oup.com
Hereditary abelian model categories | Bulletin of the London Mathematical Society | Oxford
Academic Skip to Main Content Advertisement Oxford Academic Journals Books Search Menu …
Academic Skip to Main Content Advertisement Oxford Academic Journals Books Search Menu …
Kaplansky classes and derived categories
J Gillespie - Mathematische Zeitschrift, 2007 - Springer
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 …
coherent sheaves over a quasi-compact and semi-separated scheme X. The approach …
Deconstructibility and the Hill lemma in Grothendieck categories
J Šťovíček - Forum Mathematicum, 2013 - degruyter.com
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 …
transfinite extensions of some set of objects. This concept provides a handy framework for …
Covers in finitely accessible categories
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 …
direct limits and pure epimorphic images is covering. In particular, the classes of flat objects …
[PDF][PDF] Comparing composites of left and right derived functors.
M Shulman - The New York Journal of Mathematics [electronic only], 2011 - eudml.org
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 …
comparing composites of left and right derived functors. Our central observation is that …
Six operations on dg enhancements of derived categories of sheaves
OM Schnürer - Selecta Mathematica, 2018 - Springer
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 …
Ser. (2018) 24:1805–1911 https://doi.org/10.1007/s00029-018-0392-4 Selecta Mathematica …