Complete cotorsion pairs in exact categories

Abstract

We show a cotorsion pair cogenerated by a class is complete under suitable conditions in an arbitrary exact category using the generalized small object argument given by Chorny. This recovers Saorín and Šťovíček's criterion of the completeness of cotorsion pairs in their efficient exact categories. Examples in the categories of chain complexes of exact categories are given.

We improved the main result

References in corpus (2)

• On exact categories and applications to triangulated adjoints and model structures
• Quillen model structures for relative homological algebra