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math.CT2026
On pure monomorphisms and pure epimorphisms in accessible categories
Leonid Positselski
In all -accessible additive categories, -pure monomorphisms and -pure epimorphisms are well-behaved, as shown in our previous paper arXiv:2311.02418. This is known to b…
math.CT2024
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.CT2024
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 vari…