Model Theory with Applications to Algebra and Analysis
Model Theory with Applications to Algebra and Analysis
Dugald Macpherson, University of Leeds
Anand Pillay, University of Leeds
Alex Wilkie, University of Manchester
$76.99
USDThe second of a two-volume set showcasing current research in model theory and its connections with number theory, algebraic geometry, real analytic geometry and differential algebra. This volume completes a series of expository essays and research papers around the subject matter of a Newton Institute Semester on Model Theory and Applications to Algebra and Analysis. The articles concluded here reveal new research on topics such as model theory and conjectures around Mordell-Lang; arithmetic of differential equations, and Galois Theory of difference equations; model theory and complex analytic geometry; o-minimality; model theory and non-commutative geometry; definable groups of finite dimension; Hilbert's tenth problem; and Hrushovski constructions. With contributions from so many leaders in the field, this two-volume set will undoubtedly appeal to all mathematicians with an interest in model theory and its applications.
- Includes significant new results from leading researchers in model theory and related areas
- All major recent developments in the area are discussed; future directions in the area are proposed
- Essential reading for all model theorists and any student or researcher interested in the topic
Product details
June 2008Paperback
9780521709088
444 pages
228 × 151 × 23 mm
0.61kg
1 table 30 exercises
Available
Table of Contents
- Preface
- List of contributors
- 1. Conjugacy in groups of finite Morley rank Olivier Frécon and Eric Jaligot
- 2. Permutation groups of finite Morley rank Alexandre Borovik and Gregory Cherlin
- 3. A survey of asymptotic classes and measurable structures Richard Elwes and Dugald Macpherson
- 4. Counting and dimensions Ehud Hrushovski and Frank Wagner
- 5. A survey on groups definable in o-minimal structures Margarita Otero
- 6. Decision problems in algebra and analogues of Hilbert's tenth problem Thanases Pheidas and Karim Zahidi
- 7. Hilbert's tenth problem for function fields of characteristic zero Kirsten Eisenträger
- 8. First-order characterization of function field invariants over large fields Bjorn Poonen and Florian Pop
- 9. Nonnegative solvability of linear equations in ordered Abelian groups Philip Scowcroft
- 10. Model theory for metric structures IItaï Ben Yaacov, Alexander Berenstein, C. Ward Henson and Alexander Usvyatsov.
