On a classification of theories without the independence property

Mathematical Logic Quarterly 59 (1-2):119-124 (2013)
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Abstract

A theory is stable up to Δ if any Δ-type over a model has a few extensions up to complete types. We prove that a theory has no the independence property iff it is stable up to some Δ, where each equation image has no the independence property

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10.1002/malq.201020060

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Citations of this work

On definability of types and relative stability.Viktor Verbovskiy - 2019 - Mathematical Logic Quarterly 65 (3):332-346.

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References found in this work

On variants of o-minimality.Dugald Macpherson & Charles Steinhorn - 1996 - Annals of Pure and Applied Logic 79 (2):165-209.
Théories instables.Bruno Poizat - 1981 - Journal of Symbolic Logic 46 (3):513-522.

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