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Synopsis
Book by Wilfrid Hodges
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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.
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Building Models by Games (Dover Books on Mathematics)
Edité par
Dover, 2006
ISBN 10 : 0486450171
ISBN 13 : 9780486450179
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Building Models by Games (Dover Books on Mathematics)
Edité par
Dover, 2006
ISBN 10 : 0486450171
ISBN 13 : 9780486450179
Ancien ou d'occasion
Couverture souple
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Building Models by Games (Dover Books on Mathematics)
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paperback. Etat : Good. Softcover bound in glossy pictorial paper. Mild edge wear to covers and crown and foot of spine. Binding is tight and secure. Pages are crisp, clean, and bright. Dover Publications. No date on title page. Copyright dated 1985. Stated 2006 edition. 318 pages. A good copy. We ship everyday from a real neighborhood bookstore. This description is written by an actual person, who is holding the book in front of them to make sure it?s properly described. Please contact us with questions or if you would like to see photographs. N° de réf. du vendeur F-13066
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Building Models by Games (Dover Books on Mathematics)
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Building Models by Games (Dover Books on Mathematics)
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