Items related to Building Models by Games (London Mathematical Society...
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.
"synopsis" may belong to another edition of this title.
About the Author
fm.author_biographical_note1
"About this title" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Building Models by Games (London Mathematical Society...
Seller Image
Building Models by Games (London Mathematical Society Student Texts, Series Number 2)
Published by
Cambridge University Press, 1985
ISBN 10: 0521317169
ISBN 13: 9780521317160
Used
Softcover
Seller: WeBuyBooks, Rossendale, LANCS, United Kingdom
Seller rating 5 out of 5 stars
Condition: 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. Seller Inventory # wbs5475558605
Quantity: 1 available
Stock Image
Building Models by Games
Published by
Cambridge University Press, 1985
ISBN 10: 0521317169
ISBN 13: 9780521317160
Used
Softcover
Seller: Munster & Company LLC, ABAA/ILAB, Corvallis, OR, U.S.A.
Seller rating 5 out of 5 stars
Condition: 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. Seller Inventory # 623006
Quantity: 1 available
Stock Image
Building Models by Games
Published by
Cambridge Univ Pr, Cambridge, 1985
ISBN 10: 0521317169
ISBN 13: 9780521317160
Used
Paper Bound
Seller: Feldman's Books, Menlo Park, CA, U.S.A.
Seller rating 4 out of 5 stars
Paper Bound. Condition: Near Fine. First Edition. Seller Inventory # 00030626
Quantity: 1 available