Displaying similar documents to “An essay on model theory”

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.

Flocking with informed agents

Felipe Cucker, Cristián Huepe (2008)

MathematicS In Action

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Two similar Laplacian-based models for swarms with informed agents are proposed and analyzed analytically and numerically. In these models, each individual adjusts its velocity to match that of its neighbors and some individuals are given a preferred heading direction towards which they accelerate if there is no local velocity consensus. The convergence to a collective group swarming state with constant velocity is analytically proven for a range of parameters and initial conditions....

Some embedding theorems.

Presic, Marica D., Presic, Slavisa B. (1981)

Publications de l'Institut Mathématique. Nouvelle Série

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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.

[unknown]

Roman Kossak (1984)

Fundamenta Mathematicae

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