Hybrid Prikry forcing

• Autorzy: Dima Sinapova
• Języki publikacji: EN

Abstrakty

EN

We present a new forcing notion combining diagonal supercompact Prikry forcing with interleaved extender based forcing. We start with a supercompact cardinal κ. In the final model the cofinality of κ is ω, the singular cardinal hypothesis fails at κ, and GCH holds below κ. Moreover we define a scale at κ which has a stationary set of bad points in the ground model.

Kategorie tematyczne

• 03E04: Ordered sets and their cofinalities; pcf theory
• 03E55: Large cardinals
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2015
• Tom: 228
• Numer: 2
• Strony: 139-152

Daty

wydano

2015

Twórcy

autor

Dima Sinapova

• Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 S. Morgan Street, Chicago, IL 60607-7045, U.S.A.

Identyfikatory

DOI

10.4064/fm228-2-2