Geodesic
Constructing $\omega $-stable structures: Computing 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.
Fundamenta Mathematicae, Tome 170 (2001) no. 1, pp. 1-20 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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. 
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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

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