Categoricity.

9780821848937

Categoricity.

Baldwin, John T.

American Mathematical Society

2009

235 pages

$55.00

Paperback

University lecture series; v.50

QA9

This mathematics textbook for advanced students and practitioners explores the expansion of modern model theory from Morley's categoricity theorem to applications in infinitary logic, providing a unified and systematic study of these ideas. Baldwin (mathematics, U. of Illinois at Chicago) uses pure model theory, module theory and Abelian varieties to define such tools as Galois types, Ehrenfeucht-Mostowski models, tameness, atomic types, good sets, weak diamonds and excellent classes. A set of open problems are also provided at the end of this volume.

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