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dc.contributor.authorRaghavan, Dilipen
dc.contributor.authorTodorčević, Stevoen
dc.date.accessioned2020-05-01T20:29:24Z-
dc.date.available2020-05-01T20:29:24Z-
dc.date.issued2012-03-01en
dc.identifier.issn0168-0072en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/2207-
dc.description.abstractWe study Tukey types of ultrafilters on ω, focusing on the question of when Tukey reducibility is equivalent to Rudin-Keisler reducibility. We give several conditions under which this equivalence holds. We show that there are only c many ultrafilters that are Tukey below any basically generated ultrafilter. The class of basically generated ultrafilters includes all known ultrafilters that are not Tukey above [ω 1] <ω. We give a complete characterization of all ultrafilters that are Tukey below a selective. A counterexample showing that Tukey reducibility and RK reducibility can diverge within the class of P-points is also given.en
dc.publisherElsevier-
dc.relation.ispartofAnnals of Pure and Applied Logicen
dc.subjectCofinal type | Rudin-Keisler order | Tukey reducibility | Ultrafilteren
dc.titleCofinal types of ultrafiltersen
dc.typeArticleen
dc.identifier.doi10.1016/j.apal.2011.08.002en
dc.identifier.scopus2-s2.0-84855246301en
dc.relation.firstpage185en
dc.relation.lastpage199en
dc.relation.issue3en
dc.relation.volume163en
dc.description.rankM22-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.grantfulltextnone-
crisitem.author.orcid0000-0003-4543-7962-
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