Homogeneous Universal Models.

homogeneous - universal ’ models

Classes with few models have 'homogeneous-universal' models This paper is concerned with a class K of models and an abstract notion of submodel ≤. Experience in first order model theory has shown the desirability of finding a 'monster model' to serve as a universal domain for K. In the original constructions of Jónsson and Fraissè, K was a universal class and ordinary substructure played the ro...

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Abstract Classes with Few Models Have 'Homogeneous-Universal' Models

Classes with few models have 'homogeneous-universal' models This paper is concerned with a class K of models and an abstract notion of submodel ≤. Experience in first order model theory has shown the desirability of finding a 'monster model' to serve as a universal domain for K. In the original constructions of Jónsson and Fraissè, K was a universal class and ordinary substructure played the ro...

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Classes with few models have ‘ homogeneous - universal ’ models

Classes with few models have 'homogeneous-universal' models This paper is concerned with a class K of models and an abstract notion of submodel ≤. Experience in first order model theory has shown the desirability of finding a 'monster model' to serve as a universal domain for K. In the original constructions of Jónsson and Fraissè, K was a universal class and ordinary substructure played the ro...

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The universal homogeneous binary tree

A partial order is called semilinear iff the upper bounds of each element are linearly ordered and any two elements have a common upper bound. There exists, up to isomorphism, a unique countable semilinear order which is dense, unbounded, binary branching, and without joins, which we denote by (S2;≤). We study the reducts of (S2;≤), that is, the relational structures with domain S2, all of whos...

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Universal homogeneous structures ( lecture notes )

We present category-theoretic framework for universal homogeneous structures, with selected applications. Most of the material had been presented as a series of lectures for graduate students at Department of Mathematics, University of Silesia in Katowice, Poland (21 – 23 November 2012).

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Homogeneous Universal Models.

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چکیده

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