On hyperhomogeneous and absolutely homogeneous models (Q1972197)
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scientific article; zbMATH DE number 1432319
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On hyperhomogeneous and absolutely homogeneous models |
scientific article; zbMATH DE number 1432319 |
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On hyperhomogeneous and absolutely homogeneous models (English)
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16 April 2000
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A model is said to be hyperhomogeneous provided any isomorphism between its submodels can be extended to an automorphism. A model is called absolutely homogeneous provided it is \(\lambda\)-homogeneous for all \(\lambda\). The author proves the existence of a theory in a finite language that possesses a unique hyperhomogeneous model. The cardinality of this model is \(2^\omega\).
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model theory
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hyperhomogeneous model
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absolutely homogeneous model
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