Are all localizing subcategories of a stable homotopy category coreflective?
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Advances in Mathematics |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.aim.2013.10.013 |
| Field | General mathematics |
| 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. |
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