Geodesic
The smallest common extension of a sequence of models of ZFC
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 4, pp. 745-752.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this note, we show that the model obtained by finite support iteration of a sequence of generic extensions of models of ZFC of length $\omega$ is sometimes the smallest common extension of this sequence and very often it is not.
Classification : 03C62, 03E40, 03E45
Keywords: model of ZFC; generic extension; rigid Boolean algebra; hereditary $M$-definable 
@article{CMUC_1994__35_4_a15,
     author = {Bukovsk\'y, Lev and Sk\v{r}iv\'anek, Jaroslav},
     title = {The smallest common extension of a sequence of models of {ZFC}},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {745--752},
     publisher = {mathdoc},
     volume = {35},
     number = {4},
     year = {1994},
     mrnumber = {1321245},
     zbl = {0822.03029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1994__35_4_a15/}
}
TY  - JOUR
AU  - Bukovský, Lev
AU  - Skřivánek, Jaroslav
TI  - The smallest common extension of a sequence of models of ZFC
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1994
SP  - 745
EP  - 752
VL  - 35
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1994__35_4_a15/
LA  - en
ID  - CMUC_1994__35_4_a15
ER  - 
%0 Journal Article
%A Bukovský, Lev
%A Skřivánek, Jaroslav
%T The smallest common extension of a sequence of models of ZFC
%J Commentationes Mathematicae Universitatis Carolinae
%D 1994
%P 745-752
%V 35
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1994__35_4_a15/
%G en
%F CMUC_1994__35_4_a15
Bukovský, Lev; Skřivánek, Jaroslav. The smallest common extension of a sequence of models of ZFC. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 4, pp. 745-752. http://geodesic.mathdoc.fr/item/CMUC_1994__35_4_a15/