Are all localizing subcategories of a stable homotopy category coreflective?
|Year of publication||2014|
|Type||Article in Periodical|
|Magazine / Source||Advances in Mathematics|
|MU Faculty or unit|
|Keywords||localizing subcategory; stable homotopy category; coreflective|
|Description||We prove that, in a triangulated category with combinatorial models, every localizing subcategory is coreflective and every colocalizing subcategory is reflective if a certain large-cardinal axiom (Vopěnka's principle) is assumed true. This was left as an open problem by Hovey, Palmieri and Strickland in their axiomatic study of stable homotopy categories.|