We work in the context of ω-stable theories. We obtain a natural, algebraic equivalent of ENI-NDOP and discuss recent joint proofs with Shelah that if an ω-stable theory has either ENI-DOP or is ENI-NDOP and is ENI-deep, then the set of models of T with universe ω is Borel complete.
@article{1172787550,
author = {Laskowski, Michael C.},
title = {An Old Friend Revisited: Countable Models of $\omega$-Stable Theories},
journal = {Notre Dame J. Formal Logic},
volume = {48},
number = {1},
year = {2007},
pages = { 133-141},
language = {en},
url = {http://dml.mathdoc.fr/item/1172787550}
}
Laskowski, Michael C. An Old Friend Revisited: Countable Models of ω-Stable Theories. Notre Dame J. Formal Logic, Tome 48 (2007) no. 1, pp. 133-141. http://gdmltest.u-ga.fr/item/1172787550/