A note on Steinhorn's omitting types theorem

• Autorzy: Akito Tsuboi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 03C15: Denumerable structures
• 03C45: Classification theory, stability and related concepts

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 115
• Numer: 2
• Strony: 189-194

Daty

wydano

2009

Twórcy

autor

Akito Tsuboi

• Institute of Mathematics, University of Tsukuba, Ibaraki 305-8571, Japan

Identyfikatory

DOI

10.4064/cm115-2-4