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9781470469108 Academic Inspection Copy

Towers and the First-Order Theories of Hyperbolic Groups

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Vincent Guirardel, University of Rennes, France, Gilbert Levitt, Universite de Caen, France, and Rizos Sklinos, Chinese Academy of Sciences, Beijing, People's Republic of China.
1. Introduction 2. Overview of the paper 3. Preliminaries 4. Towers 5. Some properties of towers 6. Towers as an ordering: core and prototypes 7. Elementary equivalence of torsion-free hyperbolic groups 8. Elementary embeddings 9. Partial elementary maps extend to the relative core 10. Examples and counterexamples 11. Minimal and maximal models A. Appendix: Towers are limit groups
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