Building Models by Games - Brossura

Hodges, Wilfrid

Brossura

ISBN 10: 0521317169 ISBN 13: 9780521317160

Casa editrice: Cambridge University Press, 1985

Riassunto

This book introduces a general method for building infinite mathematical structures, and surveys its applications in algebra and model theory. The basic idea behind the method is to build a structure by a procedure with infinitely many steps, similar to a game between two players that goes on indefinitely. The approach is new and helps to simplify, motivate and unify a wide range of constructions that were previously carried out separately and by ad hoc methods. The first chapter provides a resume of basic model theory. A wide variety of algebraic applications are studied, with detailed analyses of existentially closed groups of class 2. Another chapter describes the classical model-theoretic form of this method -of construction, which is known variously as 'omitting types', 'forcing' or the 'Henkin-Orey theorem'. The last three chapters are more specialised and discuss how the same idea can be used to build uncountable structures. Applications include completeness for Magidor-Malitz quantifiers, and Shelah's recent and sophisticated omitting types theorem for L(Q). There are also applications to Bdolean algebras and models of arithmetic.

Su questo libro

Product Description

311 p. 23 cm bross.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1985
• Lingua: Inglese
• ISBN 10: 0521317169
• ISBN 13: 9780521317160
• Rilegatura: Copertina flessibile
• Numero di pagine: 320
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia