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dc.creatorGuzmán, Osvaldo-
dc.creatorHrusak Michael-
dc.creatorMartínez Celis, Arturo-
dc.date.accessioned2024-03-23T01:00:36Z-
dc.date.available2024-03-23T01:00:36Z-
dc.date.issued2017-12-
dc.identifier.issnISSN electrónico: 1759-9008-
dc.identifier.urihttps://repositorioccm.matmor.unam.mx/handle/123456789/161-
dc.description.abstractIn this work we study cardinal invariants of the ideal SP of strongly porous sets on ω2. We prove that add(SP) = ω1 , cof(SP) = c and that it is consistent that non(SP) < add(N ), answering questions of Hrušák and Zindulka. We also find a connection between strongly porous sets on ω2 and the Martin number for σ-linked partial orders, and we use this connection to construct a model where all the Martin numbers for σ-k-linked forcings are mutually different.-
dc.description.sponsorshipThe authors were supported by PAPIIT grants IN 102311 and IN 108014. The first-listed author was supported by CONACyT scholarship 420090. The second-listed author was supported by a CONACyT grant 177758. The third-listed author was supported by CONACyT scholarship 332652-
dc.languageeng-
dc.publisherAssociation for Symbolic Logic-
dc.publisherCarnegie Mellon University-
dc.rightsEl uso de este contenido digital se rige por una licencia Creative Commons BY 3.0 Internacional, https://creativecommons.org/licenses/by/3.0/legalcode.en/, fecha de asignación de la licencia 2017-12.-
dc.subjectMathematical Logic and Foundations-
dc.subjectSet Theory-
dc.subjectCardinal Characteristic Continuum-
dc.subject.classificationCiencias Físico-Matemáticas y de las Ingenierías-
dc.titleCardinal invariants of strongly porous sets-
dc.typeArtículo de investigación-
dcterms.audienceInvestigadores-
dcterms.provenanceUniversidad Nacional Autónoma de México. Centro de Ciencias Matemáticas-
dcterms.provenanceJournal of Logic and Analysis; http://logicandanalysis.org/index.php/jla/article/view/285-
dc.identifier.urlhttp://logicandanalysis.org/index.php/jla/article/view/285/123-
dc.rights.accessrightsAcceso abierto-
dc.description.repositoryRepositorio Universitario del Centro de Ciencias Matemáticas, https://repositorioccm.matmor.unam.mx/-
dc.identifier.bibliographiccitationO. Guzmán, M. Hrusak and A. Martínez, Cardinal invariants of strongly porous sets, Journal of Logic Analysis, vol. 9, (2017), no. 6, 1-16, https://repositorioccm.matmor.unam.mx/handle/123456789/161-
dc.identifier.doihttp://dx.doi.org/10.4115/jla.2017.9.6-
dc.relation.ispartofjournalJournal of Logic Analysis, vol. 9, (2017), no. 6, 1-16. ISSN electrónico: 1759-9008. En: http://logicandanalysis.org/index.php/jla/issue/view/16-
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