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/