Iterating along a Prikry sequence

Spencer Unger

Spencer Unger

Fundamenta Mathematicae, Tome 233 (2016), p. 151-165 / Harvested from The Polish Digital Mathematics Library

Résumé

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 ℵₙ for n ≥ 2, $ℵ_{ω}$ is strong limit and $2^{ℵ_{ω}} = ℵ_{ω + 2}$ .

Publié le : 2016-01-01

Zbl 06498824

EUDML-ID : urn:eudml:doc:283365

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     author = {Spencer Unger},
     title = {Iterating along a Prikry sequence},
     journal = {Fundamenta Mathematicae},
     volume = {233},
     year = {2016},
     pages = {151-165},
     zbl = {06498824},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm232-2-4}
}

Spencer Unger. Iterating along a Prikry sequence. Fundamenta Mathematicae, Tome 233 (2016) pp. 151-165. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm232-2-4/