Simplicity Theory

Erscheinungsjahr 2013
ISBN: 978-0-19-856738-7
Verlag: Oxford University Press

Buch, Englisch, Band 53, 236 Seiten, Format (B × H): 162 mm x 235 mm, Gewicht: 488 g

Reihe: Oxford Logic Guides

Model theory, a major branch of mathematical logic, plays a key role connecting logic and other areas of mathematics such as algebra, geometry, analysis, and combinatorics. Simplicity theory, a subject of model theory, studies a class of mathematical structures, called simple. The class includes all stable structures (vector spaces, modules, algebraically closed fields, differentially closed fields, and so on), and also important unstable structures such as the random graph, smoothly approximated structures, pseudo-finite fields, ACFA and more. Simplicity theory supplies the uniform model theoretic points of views to such structures in addition to their own mathematical analyses.

This book starts with an introduction to the fundamental notions of dividing and forking, and covers up to the hyperdefinable group configuration theorem for simple theories. It collects up-to-date knowledge on simplicity theory and it will be useful to logicians, mathematicians and graduate students working on model theory.

Autoren/Hrsg.

Kim, Byunghan

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik

Über Autor(innen)

Byunghan Kim is Professor of Mathematics at Yonsei University, Seoul, Korea. Logic and Foundations sectional invited speaker at the International Congress of Mathematicians 2014, Seoul.