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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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| Acceso en línea: | http://cds.cern.ch/record/853328 |
| _version_ | 1780907019906056192 |
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| author | Shelah, S |
| author_facet | Shelah, S |
| author_sort | Shelah, S |
| collection | CERN |
| description | 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. |
| id | cern-853328 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2005 |
| record_format | invenio |
| spelling | cern-8533282019-09-30T06:29:59Zhttp://cds.cern.ch/record/853328engShelah, SModel theory without choice: CategoricityMathematical Physics and MathematicsThe 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.math.LO/0504196oai:cds.cern.ch:8533282005-04-10 |
| spellingShingle | Mathematical Physics and Mathematics Shelah, S Model theory without choice: Categoricity |
| title | Model theory without choice: Categoricity |
| title_full | Model theory without choice: Categoricity |
| title_fullStr | Model theory without choice: Categoricity |
| title_full_unstemmed | Model theory without choice: Categoricity |
| title_short | Model theory without choice: Categoricity |
| title_sort | model theory without choice: categoricity |
| topic | Mathematical Physics and Mathematics |
| url | http://cds.cern.ch/record/853328 |
| work_keys_str_mv | AT shelahs modeltheorywithoutchoicecategoricity |