Epireflections and supercompact cardinals

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dc.creatorBagaria, Joan
dc.creatorCasacuberta, Carles
dc.creatorMathias, Adrian R. D.
dc.date2007-03-05
dc.date.accessioned2026-07-07T07:50:14Z
dc.date.available2026-07-07T07:50:14Z
dc.descriptionWe prove that, under suitable assumptions on a category C, the existence of supercompact cardinals implies that every absolute epireflective class of objects of C is a small-orthogonality class. More precisely, if L is a localization functor on an accessible category C such that the unit morphism X \to LX is an extremal epimorphism for all X, and the class of L-local objects is defined by an absolute formula with parameters, then the existence of a supercompact cardinal above the cardinalities of the parameters implies that L is a localization with respect to some set of morphisms.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0703119
dc.identifierhttp://arxiv.org/abs/math/0703119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125093
dc.subjectCategory Theory
dc.subject18A40, 18C35, 03E55, 03C55, 55P60
dc.titleEpireflections and supercompact cardinals
dc.typetext

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