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Synopsis
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
Published by
Cambridge University Press, 1985
ISBN 10: 0521268974
ISBN 13: 9780521268974
Used
Hardcover
Seller: Munster & Company LLC, ABAA/ILAB, Corvallis, OR, U.S.A.
Seller rating 5 out of 5 stars
Condition: Good. Cambridge University Press, 1985. Not ex-library; cover rubbed, lightly bumped along bottom edge, corners bumped, spine sunned, spine ends lightly bumped; top edges very lightly foxed/soiled; bookplate on front pastedown; binding tight; cover, edges, and interior intact and clean except as noted. hardcover. Good. Seller Inventory # 616682
Quantity: 1 available
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Building Models by Games (London Mathematical Society Student Texts, Series Number 2)
Published by
Cambridge University Press, 1985
ISBN 10: 0521268974
ISBN 13: 9780521268974
Used
Hardcover
Seller: Phatpocket Limited, Waltham Abbey, HERTS, United Kingdom
Seller rating 5 out of 5 stars
Condition: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Seller Inventory # Z1-C-030-02766
Quantity: 1 available
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Building Models by Games (London Mathematical Society Student Texts: 2)
Published by
Cambridge University Press, 1985
ISBN 10: 0521268974
ISBN 13: 9780521268974
Used
Hardcover
Seller: BookDepart, Shepherdstown, WV, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: UsedGood. Hardcover; surplus library copy with the usual stampings; reference number taped to spine; bar code on back cover; fading and shelf wear to exterior; otherwise in good condition with clean text, firm binding. Seller Inventory # 51214
Quantity: 1 available
Stock Image
Building Models by Games
Published by
Cambridge University Press, 1985
ISBN 10: 0521268974
ISBN 13: 9780521268974
Used
Hardcover
Seller: Anybook.com, Lincoln, United Kingdom
Seller rating 5 out of 5 stars
Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,650grams, ISBN:0521268974. Seller Inventory # 4130161
Quantity: 1 available