Covers in finitely accessible categories

By Septimiu Crivei, Mike Prest, Blas Torrecillas. 2010

55 citations recorded by the source corpus.

We show that in a finitely accessible additive category every class of objects closed under direct limits and pure epimorphic images is covering. In particular, the classes of flat objects in a locally finitely presented additive category and of absolutely pure objects in a locally coherent category are covering.

Subfields: Geometry and Topology, Mathematical Physics, Neurology

View Paper: https://www.semanticscholar.org/paper/94da1973ea6aaedb4e4e9b189c629f82ac227116

Citations in the corpus

• Torsion pairs in silting theory (2016, unknown): “Recall from [Crivei et al. 2010, Theorem 4.1] that any definable subcategory of a locally finitely presented additive category G with products is preenveloping.”