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Model Theory in Algebra, Analysis and Arithmetic: Cetraro, Italy 2012, Editors: H. Dugald Macpherson, Carlo Toffalori de Lou van den Dries

Model Theory in Algebra, Analysis and Arithmetic: Cetraro, Italy 2012, Editors: H. Dugald Macpherson, Carlo Toffalori: Lecture Notes in Mathematics, cartea 2111

Autor Lou van den Dries, Jochen Koenigsmann, H. Dugald Macpherson, Anand Pillay, Carlo Toffalori, Alex J. Wilkie
en Limba Engleză Paperback – 2 oct 2014
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.
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Specificații

ISBN-13: 9783642549359
ISBN-10: 3642549357
Pagini: 195
Ilustrații: VII, 195 p.
Dimensiuni: 155 x 235 x 12 mm
Greutate: 3.23 kg
Ediția:2014
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seriile Lecture Notes in Mathematics, C.I.M.E. Foundation Subseries

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Presentation of a seminar result (Wilkie's o-minimality of the real exponential field) through a series of exercises Extended expository article on the model theory of valued fields, an area with many current researchers and a lack of good expositions Wide-ranging and up-to-date overview of undecidability and Hilbert's Tenth Problem, linking model theory, number theory, and algebraic geometry Exposition of recent breakthrough in abstract model theory, around NIP theories