Forcing axiom failure for any lambda>aleph_1

dc.creatorShelah, Saharon
dc.date2001-12-27
dc.date.accessioned2026-07-07T04:45:32Z
dc.date.available2026-07-07T04:45:32Z
dc.descriptionDavid Aspero asks on the possibility of having Forcing axiom FA_{aleph_2}(K), where K is the class of forcing notions preserving stationarity of subsets of aleph_1 and of aleph_2. We answer negatively, in fact we show the negative result for any regular lambda>aleph_1 even demanding adding no new sequence of ordinals of length<lambda.
dc.identifierhttps://arxiv.org/abs/math/0112286
dc.identifierhttp://arxiv.org/abs/math/0112286
dc.identifierArch. Math. Logic 43 No. 3 (2004) 285--295
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62989
dc.subjectLogic
dc.titleForcing axiom failure for any lambda>aleph_1
dc.typetext

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