Model Theory of Fields

David Marker, Margit Messmer, Anand Pillay

• Publisher: Cambridge University Press
• Year: 2017
• Print ISBN: 9781107168077
• eBook ISBN: 9781316731604
• Topic: Mathematics
• Subtopic: Logic in Mathematics
• Index: Mathematics

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the fifth publication in the Lecture Notes in Logic series, the authors give an insightful introduction to the fascinating subject of the model theory of fields, concentrating on its connections to stability theory. In the first two chapters David Marker gives an overview of the model theory of algebraically closed, real closed and differential fields. In the third chapter Anand Pillay gives a proof that there are 2? non-isomorphic countable differential closed fields. Finally, Margit Messmer gives a survey of the model theory of separably closed fields of characteristic p > 0.

Table of contents

• Cover
• Half-title
• Series information
• Title page
• Copyright information
• Table of contents
• Preface
• Introduction to the Model Theory of Fields
• Model Theory of Differential Fields
• Differential algebraic groups and the number of countable differentially closed fields
• Some model theory of separably closed fields
• Index