Model Theory in Algebra, Analysis and Arithmetic: Cetraro, Italy 2012, Editors: H. Dugald Macpherson, Carlo Toffalori

ISBN-13: 9783642549359 / Angielski / Miękka / 2014 / 195 str.

Lou Dries; Jochen Koenigsmann; H. Dugald MacPherson

Opis

The book describes 4 main topics in current model theory and updates their most recent development and applications. The 4 topics are: 1) model theory of valued fields; 2) undecidability in arithmetic; 3) NIP theories; 4) model theory of real and complex exponentiation. The book addresses in particular young researchers in model theory, as well as more senior researchers in other branches of mathematics.

Spis treści

Some themes around first order theories without the independence property.- Lectures on the model theory of real and complex exponentiation.- Lectures on the model theory of valued fields.- Undecidability in number theory.

Blurb

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.