Geodesic
Constructing $\omega $-stable structures: Computing rank
John T. Baldwin1 ; Kitty Holland2
1 Department of Mathematics, Statistics and Computer Science University of Illinois at Chicago M//C 249 851, S. Morgan St. Chicago, IL 60607, U.S.A.
2 Department of Mathematics Northern Illinois University DeKalb, IL 60115, U.S.A.
Fundamenta Mathematicae, Tome 170 (2001) no. 1, pp. 1-20.

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

This is a sequel to [1]. Here we give careful attention to the difficulties of calculating Morley and $U$-rank of the infinite rank $\omega $-stable theories constructed by variants of Hrushovski's methods. Sample result: For every $k \omega $, there is an $\omega $-stable expansion of any algebraically closed field which has Morley rank $\omega \times k$. We include a corrected proof of the lemma in [1] establishing that the generic model is $\omega $-saturated in the rank 2 case.
DOI : 10.4064/fm170-1-1
Keywords: sequel here careful attention difficulties calculating morley u rank infinite rank omega stable theories constructed variants hrushovskis methods sample result every omega there omega stable expansion algebraically closed field which has morley rank omega times include corrected proof lemma establishing generic model omega saturated rank

John T. Baldwin 1 ; Kitty Holland 2

1 Department of Mathematics, Statistics and Computer Science University of Illinois at Chicago M//C 249 851, S. Morgan St. Chicago, IL 60607, U.S.A.
2 Department of Mathematics Northern Illinois University DeKalb, IL 60115, U.S.A. 
@article{10_4064_fm170_1_1,
     author = {John T. Baldwin and Kitty Holland},
     title = {Constructing $\omega $-stable structures: {Computing} rank},
     journal = {Fundamenta Mathematicae},
     pages = {1--20},
     publisher = {mathdoc},
     volume = {170},
     number = {1},
     year = {2001},
     doi = {10.4064/fm170-1-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm170-1-1/}
}
TY  - JOUR
AU  - John T. Baldwin
AU  - Kitty Holland
TI  - Constructing $\omega $-stable structures: Computing rank
JO  - Fundamenta Mathematicae
PY  - 2001
SP  - 1
EP  - 20
VL  - 170
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm170-1-1/
DO  - 10.4064/fm170-1-1
LA  - en
ID  - 10_4064_fm170_1_1
ER  - 
%0 Journal Article
%A John T. Baldwin
%A Kitty Holland
%T Constructing $\omega $-stable structures: Computing rank
%J Fundamenta Mathematicae
%D 2001
%P 1-20
%V 170
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm170-1-1/
%R 10.4064/fm170-1-1
%G en
%F 10_4064_fm170_1_1
John T. Baldwin; Kitty Holland. Constructing $\omega $-stable structures: Computing rank. Fundamenta Mathematicae, Tome 170 (2001) no. 1, pp. 1-20. doi : 10.4064/fm170-1-1. http://geodesic.mathdoc.fr/articles/10.4064/fm170-1-1/

Cité par Sources :