Geodesic
Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH
Sy-David Friedman1 ; Mohammad Golshani2
1 Kurt Gödel Research Center for Mathematical Logic University of Vienna Wien, Austria
2 School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746, Tehran, Iran
Fundamenta Mathematicae, Tome 223 (2013) no. 2, pp. 171-193.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Starting from large cardinals we construct a pair $V_1\subseteq V_2$ of models of ZFC with the same cardinals and cofinalities such that GCH holds in $V_1$ and fails everywhere in $V_2$.
DOI : 10.4064/fm223-2-3
Keywords: starting large cardinals construct pair subseteq models zfc cardinals cofinalities gch holds fails everywhere

Sy-David Friedman 1 ; Mohammad Golshani 2

1 Kurt Gödel Research Center for Mathematical Logic University of Vienna Wien, Austria
2 School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746, Tehran, Iran 
@article{10_4064_fm223_2_3,
     author = {Sy-David Friedman and Mohammad Golshani},
     title = {Killing {GCH} everywhere by a cofinality-preserving forcing notion over a model of {GCH}},
     journal = {Fundamenta Mathematicae},
     pages = {171--193},
     publisher = {mathdoc},
     volume = {223},
     number = {2},
     year = {2013},
     doi = {10.4064/fm223-2-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm223-2-3/}
}
TY  - JOUR
AU  - Sy-David Friedman
AU  - Mohammad Golshani
TI  - Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH
JO  - Fundamenta Mathematicae
PY  - 2013
SP  - 171
EP  - 193
VL  - 223
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm223-2-3/
DO  - 10.4064/fm223-2-3
LA  - en
ID  - 10_4064_fm223_2_3
ER  - 
%0 Journal Article
%A Sy-David Friedman
%A Mohammad Golshani
%T Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH
%J Fundamenta Mathematicae
%D 2013
%P 171-193
%V 223
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm223-2-3/
%R 10.4064/fm223-2-3
%G en
%F 10_4064_fm223_2_3
Sy-David Friedman; Mohammad Golshani. Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH. Fundamenta Mathematicae, Tome 223 (2013) no. 2, pp. 171-193. doi : 10.4064/fm223-2-3. http://geodesic.mathdoc.fr/articles/10.4064/fm223-2-3/

Cité par Sources :