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Model theory without choice: Categoricity
The main result is Los conjecture: characterizing in ZF of countable first order T categoricity in some uncountable aleph_alpha (or every one). If there are aleph_1 real this is Morley's theorem, the ZFC one. Otherwise, we get a different theorem. The characterization (and the proof) are differ...
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| Lenguaje: | eng |
| Publicado: |
2005
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| Materias: | |
| Acceso en línea: | http://cds.cern.ch/record/853328 |
| Sumario: | The main result is Los conjecture: characterizing in ZF of countable first order T categoricity in some uncountable aleph_alpha (or every one). If there are aleph_1 real this is Morley's theorem, the ZFC one. Otherwise, we get a different theorem. The characterization (and the proof) are different. |
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