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Simplicity Theory - Oxford Scholarship Online
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Simplicity Theory

Byunghan Kim

Abstract

This book is about simple first-order theories. The class of simple theories was introduced by S. Shelah in the early 1980s. Then several specific algebraic structures having simple theories have been studied by leading researchers, notably by E. Hrushovski. In the mid-1990s the author established in his thesis the symmetry and transitivity of non-forking for simple theories and, with A. Pillay, type-amalgamation for Lascar strong types. Since then a great deal of research work on simplicity theory, the study of simple theories and structures has been produced. This book starts with the introd ... More

Keywords: dividing, forking, simplicity, type amalgamation, group configuration

Bibliographic Information

Print publication date: 2013 Print ISBN-13: 9780198567387
Published to Oxford Scholarship Online: January 2014 DOI:10.1093/acprof:oso/9780198567387.001.0001

Authors

Affiliations are at time of print publication.

Byunghan Kim, author
Professor of Mathematics, Department of Mathematics, Yonsei University, South Korea