108 citations · 754 across the 37 of their papers we have counts for
4 papers · 2 filters
Brown representability often fails for homotopy categories of complexes
George Ciprian Modoi, Jan Stovicek
We show that for the homotopy category K(Ab) of complexes of abelian groups, both Brown representability and Brown representability for the dual fail. We also provide an example of…
Generating the bounded derived category and perfect ghosts
Steffen Oppermann, Jan Stovicek
We show, for a wide class of abelian categories relevant in representation theory and algebraic geometry, that the bounded derived categories have no non-trivial strongly finitely…
Deconstructibility and the Hill lemma in Grothendieck categories
Jan Stovicek
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…
On exact categories and applications to triangulated adjoints and model structures
Manuel Saorin, Jan Stovicek
We show that Quillen's small object argument works for exact categories under very mild conditions. This has immediate applications to cotorsion pairs and their relation to the exi…