A note on Steinhorn's omitting types theorem

Akito Tsuboi

Colloquium Mathematicae (2009)

  • Volume: 115, Issue: 2, page 189-194
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Akito Tsuboi. "A note on Steinhorn's omitting types theorem." Colloquium Mathematicae 115.2 (2009): 189-194. <http://eudml.org/doc/283992>.

@article{AkitoTsuboi2009,
abstract = {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.},
author = {Akito Tsuboi},
journal = {Colloquium Mathematicae},
keywords = {omitting types theorem; indiscernible sequence},
language = {eng},
number = {2},
pages = {189-194},
title = {A note on Steinhorn's omitting types theorem},
url = {http://eudml.org/doc/283992},
volume = {115},
year = {2009},
}

TY - JOUR
AU - Akito Tsuboi
TI - A note on Steinhorn's omitting types theorem
JO - Colloquium Mathematicae
PY - 2009
VL - 115
IS - 2
SP - 189
EP - 194
AB - 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.
LA - eng
KW - omitting types theorem; indiscernible sequence
UR - http://eudml.org/doc/283992
ER -

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