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dc.contributor.authorFreire, Rodrigo de Alvarenga-
dc.date.accessioned2022-01-06T18:15:03Z-
dc.date.available2022-01-06T18:15:03Z-
dc.date.issued2021-11-10-
dc.identifier.citationFREIRE, Rodrigo A. Embeddability Between Orderings and GCH. Reports on Mathematical Logic, Kraków, n. 56, p. 101-109, 2021. DOI: https://doi.org/10.4467/20842589RM.21.005.14377. Disponível em: https://www.ejournals.eu/rml/2021/Number-56/art/20102/. Acesso em: 06 jan. 2021.pt_BR
dc.identifier.urihttps://repositorio.unb.br/handle/10482/42677-
dc.language.isoInglêspt_BR
dc.publisherTheoretical Computer Science Department, Jagiellonian University, Polandpt_BR
dc.rightsAcesso Abertopt_BR
dc.titleEmbeddability Between Orderings and GCHpt_BR
dc.typeArtigopt_BR
dc.subject.keywordHipótese contínuapt_BR
dc.subject.keywordEstrutura de ordenamentos linearespt_BR
dc.subject.keywordRelações de partiçãopt_BR
dc.rights.license"Copyrights and sharing The articles published after 2017 in Reports on Mathematical Logic are available under a licence Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0). For aricles till 2017 your use is permitted by an applicable exception or limitation – see: Ustawa z dnia 4 lutego 1994 r. o prawie autorskim i prawach pokrewnych Read more about the license CC BY-NC-ND 4.0: https://creativecommons.org/licenses/by-nc-nd/4.0/ View Legal Code: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode. Fonte: https://www.ejournals.eu/rml/menu/982/. Acesso em: 06 jan. 2022.pt_BR
dc.identifier.doihttps://doi.org/10.4467/20842589RM.21.005.14377pt_BR
dc.description.abstract1We provide some statements equivalent in ZF C to GCH, and also to GCH above a given cardinal. These statements express the validity of the notions of replete and well-replete car dinals, which are introduced and proved to be specially relevant to the study of cardinal exponentiation. As a byproduct, a structure theorem for linear orderings is proved to be equivalent to GCH: for every linear ordering L, at least one of L and its converse is universal for the smaller well-orderings.pt_BR
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