ENGLISH

Model theory, algebra, and geometry

By Deirdre Haskell , Anand Pillay , Charles Steinhorn

Book information

Publisher
Cambridge University Press
Year
2000
ISBN
9780521780681, 0521780683
Open Library ID
OL7753491M
Language
english
Format
RAR
Filesize
2 MB (2470640 bytes)
Series
Mathematical Sciences Research Institute publications 39
Edition
1st
Pages
227\0
Library
avaxhome.ws
Time added
2010-05-31 15:29:46

Description

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 those applications. This book gives the necessary background for understanding both the model theory and the mathematics behind the applications. Aimed at graduate students and researchers, it contains introductory surveys by leading experts covering the whole spectrum of contemporary model theory (stability, simplicity, o-minimality and variations), and introducing and discussing the diverse areas of geometry (algebraic, diophantine, real analytic, p-adic, and rigid) to which the model theory is applied. The book begins with an introduction to model theory by David Marker. It then broadens into three components: pure model theory (Bradd Hart, Dugald Macpherson), geometry(Barry Mazur, Ed Bierstone and Pierre Milman, Jan Denef), and the model theory of fields (Marker, Lou van den Dries, Zoe Chatzidakis).

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