Nonproper products

We show that there exist two proper creature forcings having a simple (Borel) definition, whose product is not proper. We also give a new condition ensuring properness of some forcings with norms.

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Veröffentlicht in:The Bulletin of the London Mathematical Society 2012-04, Vol.44 (2), p.299-310
Hauptverfasser: Rosłanowski, Andrzej, Shelah, Saharon, Spinas, Otmar
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
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Zusammenfassung:We show that there exist two proper creature forcings having a simple (Borel) definition, whose product is not proper. We also give a new condition ensuring properness of some forcings with norms.
ISSN:0024-6093
1469-2120
DOI:10.1112/blms/bdr094