Geodesic
Hybrid Prikry forcing
Dima Sinapova1
1 Department of Mathematics, Statistics, and Computer Science University of Illinois at Chicago 851 S. Morgan Street Chicago, IL 60607-7045, U.S.A.
Fundamenta Mathematicae, Tome 228 (2015) no. 2, pp. 139-152.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We present a new forcing notion combining diagonal supercompact Prikry forcing with interleaved extender based forcing. We start with a supercompact cardinal $\kappa $. In the final model the cofinality of $\kappa $ is $\omega $, the singular cardinal hypothesis fails at $\kappa $, and GCH holds below $\kappa $. Moreover we define a scale at $\kappa $ which has a stationary set of bad points in the ground model.
DOI : 10.4064/fm228-2-2
Keywords: present forcing notion combining diagonal supercompact prikry forcing interleaved extender based forcing start supercompact cardinal nbsp kappa final model cofinality kappa omega singular cardinal hypothesis fails nbsp kappa gch holds below nbsp kappa moreover define scale kappa which has stationary set bad points ground model

Dima Sinapova 1

1 Department of Mathematics, Statistics, and Computer Science University of Illinois at Chicago 851 S. Morgan Street Chicago, IL 60607-7045, U.S.A. 
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Dima Sinapova. Hybrid Prikry forcing. Fundamenta Mathematicae, Tome 228 (2015) no. 2, pp. 139-152. doi : 10.4064/fm228-2-2. http://geodesic.mathdoc.fr/articles/10.4064/fm228-2-2/

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