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math.AC2023★ 1 cited
Resolutions as directed colimits
Leonid Positselski
A general principle suggests that "anything flat is a directed colimit of countably presentable flats". In this paper, we consider resolutions and coresolutions of modules over a c…
math.CT2023★ 3 cited
Locally coherent exact categories
Leonid Positselski
A locally coherent exact category is a finitely accessible additive category endowed with an exact structure in which the admissible short exact sequences are the directed colimits…
math.CT2023★ 3 cited
Notes on limits of accessible categories
Leonid Positselski
Let be a regular cardinal, be a smaller infinite cardinal, and be a -accessible category where colimits of -indexed chains exist. We show that various c…