DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kurilić, Miloš | en |
dc.contributor.author | Todorčević, Stevo | en |
dc.date.accessioned | 2020-05-01T20:29:21Z | - |
dc.date.available | 2020-05-01T20:29:21Z | - |
dc.date.issued | 2019-01-01 | en |
dc.identifier.issn | 0167-8094 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/2168 | - |
dc.description.abstract | We show that the poset of copies ℙ(ℚn) = 〈 { f[X] : f∈ Emb (ℚn) } , ⊂ 〉 of the countable homogeneous universal n-labeled linear order, ℚn, is forcing equivalent to the poset S∗ π, where S is the Sacks perfect set forcing and 1 S⊢ “π is an atomless separative σ-closed forcing”. Under CH (or under some weaker assumptions) 1 S⊢ “π is forcing equivalent to P(ω)/Fin”. In addition, these statements hold for each countable non-scattered n-labeled linear order L and we have rosq ℙ(L) ≅ rosq ℙ(ℚn) ≅ rosq (S∗ π). | en |
dc.publisher | Springer Link | - |
dc.relation | Set Theory, Model Theory and Set-Theoretic Topology | - |
dc.relation.ispartof | Order : A Journal on the Theory of Ordered Sets and its Applications | en |
dc.subject | Countable homogeneous universal n-labeled linear order | Sacks forcing | σ-closed forcing | en |
dc.title | Posets of Copies of Countable Non-Scattered Labeled Linear Orders | en |
dc.type | Article | en |
dc.identifier.doi | 10.1007/s11083-019-09492-5 | en |
dc.identifier.scopus | 2-s2.0-85068226131 | en |
dc.relation.firstpage | 59 | - |
dc.relation.lastpage | 72 | - |
dc.relation.volume | 37 | - |
dc.description.rank | M23 | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.project.funder | MESTD | - |
crisitem.project.fundingProgram | Basic Research (BR or ON) | - |
crisitem.project.openAire | info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174006 | - |
crisitem.author.orcid | 0000-0003-4543-7962 | - |
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