This is a sequel to [1]. Here we give careful attention to the difficulties of calculating Morley and U-rank of the infinite rank ω-stable theories constructed by variants of Hrushovski's methods. Sample result: For every k < ω, there is an ω-stable expansion of any algebraically closed field which has Morley rank ω × k. We include a corrected proof of the lemma in [1] establishing that the generic model is ω-saturated in the rank 2 case.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm170-1-1,
author = {John T. Baldwin and Kitty Holland},
title = {Constructing $\omega$-stable structures: Computing rank},
journal = {Fundamenta Mathematicae},
volume = {167},
year = {2001},
pages = {1-20},
zbl = {0994.03030},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm170-1-1}
}
John T. Baldwin; Kitty Holland. Constructing ω-stable structures: Computing rank. Fundamenta Mathematicae, Tome 167 (2001) pp. 1-20. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm170-1-1/