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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Mathematical foundations

• Plný název: Simplicity Theory
• Autor: Kim Byungham
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 236
• EAN: 9780198567387
• ISBN: 0198567383
• ID: 02536457
• Nakladatelství: Oxford University Press
• Hmotnost: 498 g
• Rozměry: 240 × 159 × 18 mm
• Datum vydání: 17. October 2013

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