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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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Présentation de l'éditeur
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
Edité par
Cambridge University Press, 1985
ISBN 10 : 0521317169
ISBN 13 : 9780521317160
Ancien ou d'occasion
Couverture souple
Vendeur : Munster & Company LLC, ABAA/ILAB, Corvallis, OR, Etats-Unis
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Etat : Good. Cambridge University Press, 1985. Cover lightly rubbed/bumped, unevenly sunned, corners faintly rubbed/bumped, spine sunned, spine ends faintly rubbed/bumped; edges very lightly soiled/bumped; erasures on Title page; binding tight; cover, edges, and interior intact and clean except as noted. paperback. Good. N° de réf. du vendeur 623006
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Building Models by Games (London Mathematical Society Student Texts, Series Number 2)
Edité par
Cambridge University Press, 1985
ISBN 10 : 0521317169
ISBN 13 : 9780521317160
Ancien ou d'occasion
Couverture souple
Vendeur : WeBuyBooks, Rossendale, LANCS, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Etat : Good. Most items will be dispatched the same or the next working day. A copy that has been read but remains in clean condition. All of the pages are intact and the cover is intact and the spine may show signs of wear. The book may have minor markings which are not specifically mentioned. N° de réf. du vendeur wbs5475558605
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Building Models by Games
Edité par
Cambridge Univ Pr, Cambridge, 1985
ISBN 10 : 0521317169
ISBN 13 : 9780521317160
Ancien ou d'occasion
Paper Bound
Vendeur : Feldman's Books, Menlo Park, CA, Etats-Unis
Évaluation du vendeur 4 sur 5 étoiles
Paper Bound. Etat : Near Fine. First Edition. N° de réf. du vendeur 00030626
Quantité disponible : 1 disponible(s)