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Saturated Model
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High Quality Content by WIKIPEDIA articles! In mathematical logic, and particularly in its subfield model theory, a saturated model M is one which realizes as many complete types as may be "reasonably expected" given its size.Let be a finite or infinite cardinal number and M a model in some first-order language. Then M is called -saturated if for all subsets A M of cardinality less than , M realizes all complete types over A. The model M is called saturated if it is M -saturated where M denotes the cardinality of M. That is, it realizes all complete types over sets of parameters of size less than M . According to some authors, a model M is called countably saturated if it is aleph1-saturated; that is, it realizes all complete types over countable sets of parameters. According to others, it is countably saturated if it is aleph0-saturated; i.e. realizes all complete types over finite parameter sets.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131156991
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131156991
- Format Fachbuch
- Titel Saturated Model
- Herausgeber Betascript Publishing
- Anzahl Seiten 96
- Genre Mathematik
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