The tree property at both $ℵ_{ω+1}$ and $ℵ_{ω+2}$

• Autorzy: Laura Fontanella , Sy David Friedman
• Języki publikacji: EN

Abstrakty

EN

We force from large cardinals a model of ZFC in which $ℵ_{ω+1}$ and $ℵ_{ω+2}$ both have the tree property. We also prove that if we strengthen the large cardinal assumptions, then in the final model $ℵ_{ω+2}$ even satisfies the super tree property.

Kategorie tematyczne

• 03E55: Large cardinals
• 03E05: Other combinatorial set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2015
• Tom: 229
• Numer: 1
• Strony: 83-100

Daty

wydano

2015

Twórcy

autor

Laura Fontanella

• Kurt Gödel Research Center for Mathematical Logic, University of Vienna, 1090 Wien, Austria

autor

Sy David Friedman

• Kurt Gödel Research Center for Mathematical Logic, University of Vienna, 1090 Wien, Austria

Identyfikatory

DOI

10.4064/fm229-1-3