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	https://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.
Related projects:	Mathematical structures and their physical applications