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$[0,n]\cup \{\omega \}$ IS A SPECTRUM OF A NON-DISINTEGRATED FLAT STRONGLY MINIMAL MODEL COMPLETE THEORY IN A LANGUAGE WITH FINITE SIGNATURE

Part of: Model theory

Published online by Cambridge University Press:  01 February 2021

URI ANDREWS  and
OMER MERMELSTEIN
URI ANDREWS
Affiliation:
DEPARTMENT OF MATHEMATICS UNIVERSITY OF WISCONSIN–MADISON 480 LINCOLN DR. MADISON, WI35706, USAE-mail: andrews@math.wisc.eduE-mail: omer@math.wisc.edu
OMER MERMELSTEIN
Affiliation:
DEPARTMENT OF MATHEMATICS UNIVERSITY OF WISCONSIN–MADISON 480 LINCOLN DR. MADISON, WI35706, USAE-mail: andrews@math.wisc.eduE-mail: omer@math.wisc.edu
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Abstract

We build a new spectrum of recursive models ( $ \operatorname {\mathrm {SRM}}(T)$ ) of a strongly minimal theory. This theory is non-disintegrated, flat, model complete, and in a language with a finite signature.

Keywords

spectrum of recursive modelsspectrum of computable modelsflatnessHrushovski construction

MSC classification

Primary: 03C57: Effective and recursion-theoretic model theory
Secondary: 03C30: Other model constructions
Type
Article
Information
The Journal of Symbolic Logic , Volume 86 , Issue 4 , December 2021 , pp. 1632 - 1656
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Copyright
© Association for Symbolic Logic 2021

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