A note on Steinhorn's omitting types theorem
Colloquium Mathematicum, Tome 115 (2009) no. 2, pp. 189-194
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
nonprincipal type sufficient condition model have proper elementary extension omitting corollary obtain generalization steinhorns omitting types theorem supersimple
Affiliations des auteurs :
Akito Tsuboi 1
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author = {Akito Tsuboi},
title = {A note on {Steinhorn's} omitting types theorem},
journal = {Colloquium Mathematicum},
pages = {189--194},
publisher = {mathdoc},
volume = {115},
number = {2},
year = {2009},
doi = {10.4064/cm115-2-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm115-2-4/}
}
Akito Tsuboi. A note on Steinhorn's omitting types theorem. Colloquium Mathematicum, Tome 115 (2009) no. 2, pp. 189-194. doi: 10.4064/cm115-2-4
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