Iterating along a Prikry sequence

• Autorzy: Spencer Unger
• Języki publikacji: EN

Abstrakty

EN

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 $2^{ℵ_{ω}} = ℵ_{ω+2}$.

Kategorie tematyczne

• 03E55: Large cardinals
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2016
• Tom: 232
• Numer: 2
• Strony: 151-165

Daty

wydano

2016

Twórcy

autor

Spencer Unger

• Department of Mathematics, University of California, Los Angeles, Los Angeles, CA 90095, U.S.A.

Identyfikatory

DOI

10.4064/fm232-2-4