Hausdorff gaps reconstructed from Luzin gaps

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dc.creatorKalemba, Piotr
dc.creatorPlewik, Szymon
dc.date2009-03-04
dc.date.accessioned2026-07-07T12:49:05Z
dc.date.available2026-07-07T12:49:05Z
dc.descriptionWe consider a question: Can a given AD-family be ADR for two orthogonal uncountable towers? If $b > ω_1$, then we rebuilt any AD-family of the cardinality $ω_1$ onto a Hausdorff pre-gap. Moreover, if a such AD-family is a Luzin gap, then we obtain a Hausdorff gap. Under $b = ω_1$, a similar rebuilding is impossible.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0903.0810
dc.identifierhttp://arxiv.org/abs/0903.0810
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222283
dc.subjectLogic
dc.subjectCombinatorics
dc.subject03E35
dc.titleHausdorff gaps reconstructed from Luzin gaps
dc.typetext

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