The tree property at both ℵω+1 and ℵω+2
Laura Fontanella ; Sy David Friedman
Fundamenta Mathematicae, Tome 228 (2015), p. 83-100 / Harvested from The Polish Digital Mathematics Library
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We force from large cardinals a model of ZFC in which ℵω+1 and ℵω+2 both have the tree property. We also prove that if we strengthen the large cardinal assumptions, then in the final model ℵω+2 even satisfies the super tree property.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:283127 
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Laura Fontanella; Sy David Friedman. The tree property at both $ℵ_{ω+1}$ and $ℵ_{ω+2}$
            . Fundamenta Mathematicae, Tome 228 (2015) pp. 83-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm229-1-3/