Are all localizing subcategories of a stable homotopy category coreflective?

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Authors

CASACUBERTA Carles GUTIÉRREZ Javier ROSICKÝ Jiří

Year of publication 2014
Type Article in Periodical
Magazine / Source Advances in Mathematics
MU Faculty or unit

Faculty of Science

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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