Stable Domination And Independence In Algebraically Closed Valued Fields

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Stable Domination and Independence in Algebraically Closed Valued Fields

Author: Deirdre Haskell
language: en
Publisher: Cambridge University Press
Release Date: 2008
This book presents research in model theory and its applications to valued fields.
Logic Colloquium 2005

Author: Costas Dimitracopoulos
language: en
Publisher: Cambridge University Press
Release Date: 2008
The Annual European Meeting of the Association for Symbolic Logic, generally known as the Logic Colloquium, is the most prestigious annual meeting in the field. Many of the papers presented there are invited surveys of developments, and the rest of the papers are chosen to complement the invited talks. This 2007 volume includes surveys, tutorials, and selected research papers from the 2005 meeting. Highlights include three papers on different aspects of connections between model theory and algebra; a survey of major advances in combinatorial set theory; a tutorial on proof theory and modal logic; and a description of Bernay's philosophy of mathematics.
Model Theory in Algebra, Analysis and Arithmetic

Presenting recent developments and applications, the book focuses on four main topics in current model theory: 1) the model theory of valued fields; 2) undecidability in arithmetic; 3) NIP theories; and 4) the model theory of real and complex exponentiation. Young researchers in model theory will particularly benefit from the book, as will more senior researchers in other branches of mathematics.