
Model Theory
Description
Alles über E-Books | Antworten auf Fragen rund um E-Books, Kopierschutz und Dateiformate finden Sie in unserem Info- & Hilfebereich.
This book provides an entry into some the key areas of research in contemporary model theory. Model theory, a branch of mathematical logic, is an exciting and vibrant discipline. Advances in pure model theory drive applications in algebra, algebraic geometry, analysis, combinatorics and number theory. The contributing authors are leaders in the field, both senior and junior, including Anand Pillay, Zoé Chatzidakis, Gabriel Conant, Caroline Terry, Itay Kaplan, Rahim Moosa and Silvain Rideau-Kikuchi.
This book introduces readers to contemporary stability theory, the model theory of finite and pseudo-finite fields, the model theory of differential fields, and the basics of simplicity theory and NSOP1 theories, which culminate in proving the symmetry of Kim-independence. Contributors give a detailed proof of a qualitative version of the Malliaris-Shelah regularity lemma for stable graphs using only basic local stability theory and an ultraproduct construction. Additionally, contributors give self-contained exposition of two cornerstones of the geometric theory of algebraically closed valued fields. The first is a description of the definable sets in the guise of an elimination of quantifiers, essentially dating back to Robinson's work. The second is a description of all interpretable set in the guise of the Haskell-Hrushovski-Macpherson elimination of imaginaries.
More details
Other editions
Additional editions

Content
Preface.- Introduction, Model Theory, and Stability.- Notes on the Model Theory of Finite and Pseudo-Finite Fields.- Pseudo-Finite Proofs of the Stable Graph Regularity Lemma.- Notes on the Basics of Simple Theories and NSOP_1.- Six Lectures on Model Theory and Differentia-Algebraic Geometry.- Model Theory of Valued Fields.
System requirements
File format: PDF
Copy protection: Watermark-DRM (Digital Rights Management)
System requirements:
- Computer (Windows; MacOS X; Linux): Use the free software Adobe Reader, Adobe Digital Editions, or any other PDF viewer of your choice (see eBook Help).
- Tablet/Smartphone (Android; iOS): Install the free app Adobe Digital Editions or another reading app for eBooks, e.g., PocketBook (see eBook Help).
- E-reader: Bookeen, Kobo, Pocketbook, Sony, Tolino and many more (only limited: Kindle).
The file format PDF always displays a book page identically on any hardware. This makes PDF suitable for complex layouts such as those used in textbooks and reference books (images, tables, columns, footnotes). Unfortunately, on the small screens of e-readers or smartphones, PDFs are rather annoying, requiring too much scrolling.
This eBook uses Watermark-DRM, a „soft” copy protection. This means that there are no technical restrictions to prevent illegal distribution. However, there is a personalised watermark embedded in the eBook that can be used to identify the purchaser of the eBook in the event of misuse and to provide evidence for legal purposes.
For more information, see our eBook Help page.