Geodesic
Iterating along a Prikry sequence
Spencer Unger1
1 Department of Mathematics University of California, Los Angeles Los Angeles, CA 90095, U.S.A.
Fundamenta Mathematicae, Tome 232 (2016) no. 2, pp. 151-165.

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

We introduce a new method which combines Prikry forcing with an iteration between the Prikry points. Using our method we prove from large cardinals that it is consistent that the tree property holds at $\aleph _n$ for $n \geq 2$, $\aleph _\omega $ is strong limit and $2^{\aleph _\omega } = \aleph _{\omega +2}$.
DOI : 10.4064/fm232-2-4
Keywords: introduce method which combines prikry forcing iteration between prikry points using method prove large cardinals consistent tree property holds aleph geq aleph omega strong limit aleph omega aleph omega

Spencer Unger 1

1 Department of Mathematics University of California, Los Angeles Los Angeles, CA 90095, U.S.A. 
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Spencer Unger. Iterating along a Prikry sequence. Fundamenta Mathematicae, Tome 232 (2016) no. 2, pp. 151-165. doi : 10.4064/fm232-2-4. http://geodesic.mathdoc.fr/articles/10.4064/fm232-2-4/

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