Essential Stability Theory (Perspectives in Mathematical Logic) - Softcover
Buch 10 von 17: Perspectives in Logic
Inhaltsangabe
Stability theory began in the early 1960s with the work of Michael Morley and matured in the 70s through Shelah's research in model-theoretic classification theory. Today stability theory both influences and is influenced by number theory, algebraic group theory, Riemann surfaces and representation theory of modules. There is little model theory today that does not involve the methods of stability theory. The aim of this book is to provide the student with a quick route from basic model theory to research in stability theory, to prepare a student for research in any of today's branches of stability theory and to give an introduction to classification theory with an exposition of Morley's Categoricity Theorem.
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This book provides the student with a quick route from basic model theory to research in stability theory. Besides preparing a student for research in any of today's branches of stability theory, it also gives an introduction to classification theory with an exposition of Morley's Categoricity Theorem. The concepts and techniques of geometrial stability theory are developed through a fine structure analysis of uncountably categorical theories. The basic tools of stability theory are developed in full generality around the focal point of the dimension theory on regular types.
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