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dc.contributor.authorSolecki, Slawomiren
dc.contributor.authorTodorčević, Stevoen
dc.date.accessioned2020-05-01T20:29:25Z-
dc.date.available2020-05-01T20:29:25Z-
dc.date.issued2011-04-01en
dc.identifier.issn1474-7480en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/2212-
dc.description.abstractWe investigate Tukey functions from the ideal of all closed nowhere-dense subsets of 2N. In particular, we answer an old question of Isbell and Fremlin by showing that this ideal is not Tukey reducible to the ideal of density zero subsets of N. We also prove non-existence of various special types of Tukey reductions from the nowhere-dense ideal to analytic P-ideals. In connection with these results, we study families F of clopen subsets of 2 N with the property that for each nowhere-dense subset of 2 N there is a set in F not intersecting it. We call such families avoiding.en
dc.publisherCambridge University Press-
dc.relationNSF, Grant DMS-0700841-
dc.relation.ispartofJournal of the Institute of Mathematics of Jussieuen
dc.subjectanalytic P-ideals | nowhere-dense sets | Tukey reductionsen
dc.titleAvoiding families and Tukey functions on the nowhere-dense idealen
dc.typeArticleen
dc.identifier.doi10.1017/S1474748010000277en
dc.identifier.scopus2-s2.0-82555197042en
dc.relation.firstpage405en
dc.relation.lastpage435en
dc.relation.issue2en
dc.relation.volume10en
item.cerifentitytypePublications-
item.grantfulltextnone-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextNo Fulltext-
crisitem.author.orcid0000-0003-4543-7962-
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