Cardinal Arithmetic: From Silver’s Theorem to Shelah’s PCF Theory

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dc.contributor.advisorBagaria, Joan
dc.contributor.authorGallart Rodríguez, Curial
dc.date.accessioned2020-10-22T13:21:50Z
dc.date.available2020-10-22T13:21:50Z
dc.date.issued2020-10
dc.descriptionTreballs Finals del Màster de Lògica Pura i Aplicada, Facultat de Filosofia, Universitat de Barcelona, Curs: 2019-2020, Tutor: Joan Bagaria Pigrauca
dc.description.abstractThe main goal of this master’s thesis is to give a detailed description of the major ZFC advances in cardinal arithmetic from Silver’s Theorem to Shelah’s pcf theory and his bound on 2אω. In our attempt to make this thesis as self-contained as possible, we have devoted the first chapter to review the most elementary concepts of set theory, which include all the classical results from the first period of developement of cardinal arithmetic, from 1870 to 1930, due to Cantor, Hausdorff, König, and Tarski.ca
dc.format.extent106 p.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2445/171396
dc.language.isoengca
dc.rightscc-by-nc-nd (c) Gallart Rodríguez, 2020
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.sourceMàster Oficial - Pure and Applied Logic / Lògica Pura i aplicada
dc.subject.classificationLògica matemàtica
dc.subject.classificationTeoria de conjunts
dc.subject.classificationNombres cardinals
dc.subject.classificationTreballs de fi de màster
dc.subject.otherMathematical logic
dc.subject.otherSet theory
dc.subject.otherCardinal numbers
dc.subject.otherMaster's theses
dc.titleCardinal Arithmetic: From Silver’s Theorem to Shelah’s PCF Theoryca
dc.typeinfo:eu-repo/semantics/masterThesisca

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