DC Field | Value | Language |
---|---|---|
dc.contributor.author | Todorčević, Stevo | en |
dc.date.accessioned | 2020-05-01T20:29:31Z | - |
dc.date.available | 2020-05-01T20:29:31Z | - |
dc.date.issued | 1981-01-01 | en |
dc.identifier.issn | 0166-8641 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/2279 | - |
dc.description.abstract | Let wKH denote the following statement: There exists a ω1-tree of power ω1 with >ω1 ω1-branches. First, using methods of [6] and [13], we shall prove theconsistency of MA + ¬wKH. Then we shall prove that MA + ¬wKH implies the following: (a) There is no θ-dense (splitting) poset of power ω1; (b) Every LOTS of density ω1 has a θ-disjoint π-base; (c) There is no Baire LOTS of power ω1 without isolated points; (d) Every perfectly normal non-Archimedian space of weight ω1 is metrizable. These results are connected to problems from [4], [10], [7] and [15], respectively. A part of these results was announced in [17]. | en |
dc.publisher | Elsevier | - |
dc.relation.ispartof | Topology and its Applications | en |
dc.title | Some consequences of MA + ¬wKH | en |
dc.type | Article | en |
dc.identifier.doi | 10.1016/0166-8641(81)90020-1 | en |
dc.identifier.scopus | 2-s2.0-0000241589 | en |
dc.relation.firstpage | 187 | en |
dc.relation.lastpage | 202 | en |
dc.relation.issue | 2 | en |
dc.relation.volume | 12 | en |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
crisitem.author.orcid | 0000-0003-4543-7962 | - |
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