Información General

• Autores: Deirdre Haskell (coord.), Anand Pillay (coord.), Charles Steinhorn (coord.)
• Editores: Cambridge University Press
• Año de publicación: 2000
• Colecciones: Mathematical Sciences Research Institute publications, 39
• País: Estados Unidos
• Idioma: inglés
• ISBN: 0-521-78068-3
• Texto completo no disponible (Saber más ...)

Resumen

• Model theory is a branch of mathematical logic that has found applications in several areas of algebra and geometry. It provides a unifying framework for the understanding of old results and more recently has led to significant new results, such as a proof of the Mordell--Lang conjecture for function fields in positive characteristic. Perhaps surprisingly, it is sometimes the most abstract aspects of model theory that are relevant to these applications.

Otros catálogos

• Red de Bibliotecas Universitarias (REBIUN)

Listado de artículos

• • Overview

    Anand Pillay, Charles Steinhorn, Deirdre Haskell

    págs. 1-13

    

  • Introduction to Model Theory

    David Marker

    págs. 15-35

    

  • Classical Model Theory of Fields

    Lou van den Dries

    págs. 37-52

    

  • Model Theory of Differential Fields

    David Marker

    págs. 53-63

    

  • A Survey on the Model Theory of Difference Fields

    Zoé Chatzidakis

    págs. 65-96

    

  • Notes on o-Minimality and Variations

    Dugald Macpherson

    págs. 97-130

    

  • Stability Theory and its Variants

    Bradd Hart

    págs. 131-149

    

  • Subanalytic Geometry

    Edward Bierstone, Pierre D. Milman

    págs. 151-172

    

  • Arithmetic and Geometric Applications of Quantifier Elimination for Valued Fields

    Jan Denef

    págs. 173-198

    

  • Abelian Varieties and the Mordell-Lang Conjecture

    B. Mazur

    págs. 199-227