### Models Omitting Given Complete Types

Akito Tsuboi
Source: Notre Dame J. Formal Logic Volume 49, Number 4 (2008), 393-399.

#### Abstract

We consider a problem of constructing a model that omits given complete types. We present two results. The first one is related to the Lopez-Escobar theorem and the second one is a version of Morley's omitting types theorem.

First Page:
Primary Subjects: 03C50, 03C52
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Permanent link to this document: http://projecteuclid.org/euclid.ndjfl/1224257538
Digital Object Identifier: doi:10.1215/00294527-2008-019
Mathematical Reviews number (MathSciNet): MR2456655
Zentralblatt MATH identifier: 05657675

### References

[1] Lopez-Escobar, E. G. K., An interpolation theorem for denumerably long formulas,'' Fundamenta Mathematicae, vol. 57 (1965), pp. 253--72.
Mathematical Reviews (MathSciNet): MR0188059
Zentralblatt MATH: 0137.00701
[2] Newelski, L., "Omitting types and the real line", The Journal of Symbolic Logic, vol. 52 (1987), pp. 1020--1026.
Mathematical Reviews (MathSciNet): MR916406
Zentralblatt MATH: 0636.03025
Digital Object Identifier: doi:10.2307/2273835
[3] Shelah, S., "The Hanf number of omitting complete types", Pacific Journal of Mathematics, vol. 50 (1974), pp. 163--68.
Mathematical Reviews (MathSciNet): MR0363877
Zentralblatt MATH: 0306.02048
Project Euclid: euclid.pjm/1102913702