Low cardinality models for a type of infinitary theory

Daniel Gogol

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Displaying similar documents to “Low cardinality models for a type of infinitary theory”

On the number of generic models

Vincent Lee, Mark Nadel (1975)

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When a first order T has limit models

Saharon Shelah (2012)

Colloquium Mathematicae

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We sort out to a large extent when a (first order complete theory) T has a superlimit model in a cardinal λ. Also we deal with related notions of being limit.

A viewpoint on amalgamation classes

Silvia Barbina, Domenico Zambella (2010)

Commentationes Mathematicae Universitatis Carolinae

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We give a self-contained introduction to universal homogeneous models (also known as rich models) in a general context where the notion of morphism is taken as primitive. We produce an example of an amalgamation class where each connected component has a saturated rich model but the theory of the rich models is not model-complete.