L(R) absoluteness under proper forcings

Simple item page
dc.creatorSchindler, Ralf
dc.date1999-09-08
dc.date.accessioned2026-07-07T05:30:42Z
dc.date.available2026-07-07T05:30:42Z
dc.descriptionWe isolate a new large cardinal concept, "remarkability." Consistencywise, remarkable cardinals are between ineffable and omega-Erdos cardinals. They are characterized by the existence of "0^sharp-like" embeddings; however, they relativize down to L. It turns out that the existence of a remarkable cardinal is equiconsistent with L(R) absoluteness under proper forcings. In particular, said absoluteness does not imply Pi^1_1 determinacy.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/9909043
dc.identifierhttp://arxiv.org/abs/math/9909043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79076
dc.subjectLogic
dc.subject03E15;03E45;03E55
dc.titleL(R) absoluteness under proper forcings
dc.typetext

Files

Collections

arXiv