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dc.contributor.authorKuzeljević, Borišaen
dc.contributor.authorTodorčević, Stevoen
dc.date.accessioned2020-05-01T20:29:22Z-
dc.date.available2020-05-01T20:29:22Z-
dc.date.issued2017-01-01en
dc.identifier.issn0002-9939en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/2178-
dc.description.abstractWe analyze the forcing notion P of finite matrices whose rows consist of isomorphic countable elementary submodels of a given structure of the form Hθ. We show that forcing with this poset adds a Kurepa tree T. Moreover, if Pc is a suborder of P containing only continuous matrices, then the Kurepa tree T is almost Souslin, i.e., the level set of any antichain in T is not stationary in ω1.en
dc.publisherAmerican Mathematical Society-
dc.relationSet Theory, Model Theory and Set-Theoretic Topology-
dc.relation.ispartofProceedings of the American Mathematical Societyen
dc.subjectCountable elementary submodel | Proper forcing | Side conditionen
dc.titleForcing with matrices of countable elementary submodelsen
dc.typeArticleen
dc.identifier.doi10.1090/proc/13133en
dc.identifier.scopus2-s2.0-85013626181en
dc.relation.firstpage2211en
dc.relation.lastpage2222en
dc.relation.issue5en
dc.relation.volume145en
dc.description.rankM22-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.project.funderMESTD-
crisitem.project.fundingProgramBasic Research (BR or ON)-
crisitem.project.openAireinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174006-
crisitem.author.orcid0000-0003-4543-7962-
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