Title
Building Models by Games (Dover Books on Mathematics),Used
Delivery time: 8-12 business days (International)
This volume presents research by algebraists and model theorists in accessible form for advanced undergraduates or beginning graduate students studying algebra, logic, or model theory. It introduces a general method for building infinite mathematical structures and surveys applications in algebra and model theory. A multistep procedure, the method resembles a twoplayer game that continues indefinitely. This approach simplifies, motivates, and unifies a wide range of constructions.Starting with an overview of basic model theory, the text examines a variety of algebraic applications, with detailed analyses of existentially closed groups of class 2. It describes the classical modeltheoretic form of this method of construction, which is known as 'omitting types,' 'forcing,' or the 'HenkinOrey theorem,' The final chapters are more specialized, discussing how the idea can be used to build uncountable structures. Applications include completeness for MagidorMalitz quantifiers, Shelah's recent and sophisticated omitting types theorem for L(Q), and applications to Boolean algebras and models of arithmetic. More than 160 exercises range from elementary drills to researchrelated items, with further information and examples.
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This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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