131 citations · 953 across the 64 of their papers we have counts for
5 papers · 2 filters
Infinity-tilting theory
Leonid Positselski, Jan Stovicek
We define the notion of an infinitely generated tilting object of infinite homological dimension in an abelian category. A one-to-one correspondence between -tilting object…
Nearly locally presentable categories
Leonid Positselski, Jiri Rosicky
We introduce a new class of categories generalizing locally presentable ones. The distinction does not manifest in the abelian case and, assuming Vopenka's principle, the same happ…
The tilting-cotilting correspondence
Leonid Positselski, Jan Stovicek
To a big n-tilting object in a complete, cocomplete abelian category A with an injective cogenerator we assign a big n-cotilting object in a complete, cocomplete abelian category B…
Abelian right perpendicular subcategories in module categories
Leonid Positselski
We show that an abelian category can be exactly, fully faithfully embedded into a module category as the right perpendicular subcategory to a set of modules or module morphisms if…
Pseudo-dualizing complexes and pseudo-derived categories
Leonid Positselski
The definition of a pseudo-dualizing complex is obtained from that of a dualizing complex by dropping the injective dimension condition, while retaining the finite generatedness an…