Geodesic
The tree property at both $\aleph _{\omega +1}$ and $\aleph _{\omega +2}$
Laura Fontanella1 ; Sy David Friedman1
1Kurt Gödel Research Center for Mathematical Logic University of Vienna 1090 Wien, Austria
Fundamenta Mathematicae, Tome 229 (2015) no. 1, pp. 83-100
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We force from large cardinals a model of ${\rm ZFC }$ in which $\aleph _{\omega +1}$ and $\aleph _{\omega +2}$ both have the tree property. We also prove that if we strengthen the large cardinal assumptions, then in the final model $\aleph _{\omega +2}$ even satisfies the super tree property.
DOI : 10.4064/fm229-1-3
Keywords: force large cardinals model zfc which aleph omega aleph omega have tree property prove strengthen large cardinal assumptions final model aleph omega even satisfies super tree property

Laura Fontanella  1   ; Sy David Friedman  1

1 Kurt Gödel Research Center for Mathematical Logic University of Vienna 1090 Wien, Austria 
@article{10_4064_fm229_1_3,
     author = {Laura Fontanella and Sy David Friedman},
     title = {The tree property at both $\aleph _{\omega +1}$ and $\aleph _{\omega +2}$},
     journal = {Fundamenta Mathematicae},
     pages = {83--100},
     year = {2015},
     volume = {229},
     number = {1},
     doi = {10.4064/fm229-1-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm229-1-3/}
}
TY  - JOUR
AU  - Laura Fontanella
AU  - Sy David Friedman
TI  - The tree property at both $\aleph _{\omega +1}$ and $\aleph _{\omega +2}$
JO  - Fundamenta Mathematicae
PY  - 2015
SP  - 83
EP  - 100
VL  - 229
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm229-1-3/
DO  - 10.4064/fm229-1-3
LA  - en
ID  - 10_4064_fm229_1_3
ER  - 
%0 Journal Article
%A Laura Fontanella
%A Sy David Friedman
%T The tree property at both $\aleph _{\omega +1}$ and $\aleph _{\omega +2}$
%J Fundamenta Mathematicae
%D 2015
%P 83-100
%V 229
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/fm229-1-3/
%R 10.4064/fm229-1-3
%G en
%F 10_4064_fm229_1_3
Laura Fontanella; Sy David Friedman. The tree property at both $\aleph _{\omega +1}$ and $\aleph _{\omega +2}$. Fundamenta Mathematicae, Tome 229 (2015) no. 1, pp. 83-100. doi: 10.4064/fm229-1-3

Cité par Sources :