Cardinal sequences and Cohen real extensions

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dc.creatorJuhász, István
dc.creatorShelah, Saharon
dc.creatorSoukup, Lajos
dc.creatorSzentmiklóssy, Zoltán
dc.date2004-04-19
dc.date.accessioned2026-07-07T05:07:32Z
dc.date.available2026-07-07T05:07:32Z
dc.descriptionWe show that if we add any number of Cohen reals to the ground model then, in the generic extension, a locally compact scattered space has at most (2^{aleph_0})^V many levels of size omega. We also give a complete ZFC characterization of the cardinal sequences of regular scattered spaces. Although the classes of the regular and of the 0-dimensional scattered spaces are different, we prove that they have the same cardinal sequences.
dc.identifierhttps://arxiv.org/abs/math/0404322
dc.identifierhttp://arxiv.org/abs/math/0404322
dc.identifierFund. Math. 181 No. 1 (2004) 75--88
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70892
dc.subjectLogic
dc.subjectGeneral Topology
dc.titleCardinal sequences and Cohen real extensions
dc.typetext

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