Sinossi
Aimed at graduate students and research logicians and mathematicians, this much-awaited text covers over forty years of work on relative classification theory for non-standard models of arithmetic. With graded exercises at the end of each chapter, the book covers basic isomorphism invariants: families of types realized in a model, lattices of elementary substructures and automorphism groups. Many results involve applications of the powerful technique of minimal types due to Haim Gaifman, and some of the results are classical but have never been published in a book form before.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
- Preface
- 1: Basics
- 2: Extensions
- 3: Minimal and other types
- 4: Substructure lattices
- 5: How to control types
- 6: Generics and forcing
- 7: Cuts
- 8: Automorphisms of recursively saturated models
- 9: Automorphism groups of recursively saturated models
- 10: Omega 1-like models
- 11: Order types
- 12: Twenty questions
- References
- Index
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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The Structure of Models of Peano Arithmetic: 50 (Oxford Logic Guides)
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Hardcover. Condizione: new. Hardcover. Aimed at graduate students and research logicians and mathematicians, this much-awaited text covers over forty years of work on relative classification theory for non-standard models of arithmetic. With graded exercises at the end of each chapter, the book covers basic isomorphism invariants: families of types realized in a model, lattices of elementary substructures and automorphism groups. Many results involve applications of the powerful technique of minimaltypes due to Haim Gaifman, and some of the results are classical but have never been published in a book form before. Aimed at graduate students, research logicians and mathematicians, this much-awaited text covers over 40 years of work on relative classification theory for nonstandard models of arithmetic. The book covers basic isomorphism invariants: families of type realized in a model, lattices of elementary substructures and automorphism groups. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Codice articolo 9780198568278
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