Let p(x) be a nonprincipal type. We give a sufficient condition for a model M to have a proper elementary extension omitting p(x). As a corollary, we obtain a generalization of Steinhorn's omitting types theorem to the supersimple case.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm115-2-4,
author = {Akito Tsuboi},
title = {A note on Steinhorn's omitting types theorem},
journal = {Colloquium Mathematicae},
volume = {116},
year = {2009},
pages = {189-194},
zbl = {1171.03019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm115-2-4}
}
Akito Tsuboi. A note on Steinhorn's omitting types theorem. Colloquium Mathematicae, Tome 116 (2009) pp. 189-194. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm115-2-4/