dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Bagaria, Joan |
dc.contributor.author |
Casacuberta i Vergés, Carles |
dc.contributor.author |
Mathias, A.R.D. |
dc.date.accessioned |
2007-06-26T15:16:24Z |
dc.date.available |
2007-06-26T15:16:24Z |
dc.date.created |
2007-03 |
dc.date.issued |
2007-03 |
dc.identifier.uri |
http://hdl.handle.net/2072/4234 |
dc.format.extent |
18 |
dc.format.extent |
238732 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;740 |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject.other |
Nombres cardinals |
dc.subject.other |
Categories (Matemàtica) |
dc.subject.other |
Homotopia |
dc.title |
Epireflections and supercompact cardinals |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
511 - Teoria dels nombres |
dc.subject.udc |
515.1 - Topologia |
dc.description.abstract |
We 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→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. |