Assume T is superstable and small. Using the multiplicity rank ℳ we find locally modular types in the same manner as U-rank considerations yield regular types. We define local versions of ℳ-rank, which also yield meager types.
@article{bwmeta1.element.bwnjournal-article-fmv146i2p121bwm,
author = {Ludomir Newelski},
title = {M-rank and meager types},
journal = {Fundamenta Mathematicae},
volume = {146},
year = {1995},
pages = {121-139},
zbl = {0829.03016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv146i2p121bwm}
}
Newelski, Ludomir. ℳ-rank and meager types. Fundamenta Mathematicae, Tome 146 (1995) pp. 121-139. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv146i2p121bwm/
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