Cardinal continuity for cohomology theories follows from supercompact cardinals

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dc.contributor.advisorCasacuberta, Carles
dc.contributor.authorGarreta Cutrina, Aran
dc.date.accessioned2026-02-24T15:47:20Z
dc.date.available2026-02-24T15:47:20Z
dc.date.issued2025-06-10
dc.descriptionTreballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2025, Director: Carles Casacuberta Vergés
dc.description.abstractWe prove that, if sufficiently large supercompact cardinals exist, then Margolis’s cardinal continuity condition holds for cohomological functors on spectra. This provides a new proof of the fact that localizations of spectra with respect to generalized cohomology theories exist, assuming the existence of a proper class of supercompact cardinals. Whether or not the existence of cohomological localizations of spectra can be proved in ZFC is a long-standing open question.
dc.format.extent44 p.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2445/227345
dc.language.isoeng
dc.rightscc-by-nc-nd (c) Aran Garreta Cutrina, 2025
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.sourceTreballs Finals de Grau (TFG) - Matemàtiques
dc.subject.classificationLògica matemàticaca
dc.subject.classificationTeoria de conjuntsca
dc.subject.classificationNombres cardinalsca
dc.subject.classificationTopologia algebraicaca
dc.subject.classificationCategories (Matemàtica)
dc.subject.classificationTreballs de fi de grauca
dc.subject.otherMathematical logicen
dc.subject.otherSet theoryen
dc.subject.otherCardinal numbersen
dc.subject.otherAlgebraic topologyen
dc.subject.otherCategories (Mathematics)en
dc.subject.otherBachelor's thesesen
dc.titleCardinal continuity for cohomology theories follows from supercompact cardinals
dc.typeinfo:eu-repo/semantics/bachelorThesis

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