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Induction, bounding, weak combinatorial principles, and the homogeneous model theorem /
Goncharov and Peretyat'kin independently gave necessary and sufficient conditions for when a set of types of a complete theory T is the type spectrum of some homogeneous model of T. Their result can be stated as a principle of second order arithmetic, which is called the Homogeneous Model Theor...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1187. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | Goncharov and Peretyat'kin independently gave necessary and sufficient conditions for when a set of types of a complete theory T is the type spectrum of some homogeneous model of T. Their result can be stated as a principle of second order arithmetic, which is called the Homogeneous Model Theorem (HMT), and analyzed from the points of view of computability theory and reverse mathematics. Previous computability theoretic results by Lange suggested a close connection between HMT and the Atomic Model Theorem (AMT), which states that every complete atomic theory has an atomic model. The authors sh. |
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| Notas: | "Volume 249, Number 1187 (eighth of 8 numbers), September 2017." |
| Descripción Física: | 1 online resource (v, 101 pages) |
| Bibliografía: | Includes bibliographical references (pages 99-101). |
| ISBN: | 9781470441418 1470441411 |
| ISSN: | 0065-9266 ; |