Locally well generated homotopy categories of complexes
We show that the homotopy category of complexes over any finitely accessible additive category is locally well generated. That is, any localizing subcategory in which is generated by a set is well generated in the sense of Neeman. We also show that itself being well generated is equivalent to being pure semisimple, a concept which naturally generalizes right pure semisimplicity of a ring for .
Cite this article
Jan Stovicek, Locally well generated homotopy categories of complexes. Doc. Math. 15 (2010), pp. 507–525DOI 10.4171/DM/304