Model Theory of $mathrm {C}^*$-Algebras

Model Theory of $mathrm {C}^*$-Algebras PDF Author: Ilijas Farah
Publisher: American Mathematical Society
ISBN: 1470447576
Category : Mathematics
Languages : en
Pages : 127

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Model Theory of $mathrm {C}^*$-Algebras

Model Theory of $mathrm {C}^*$-Algebras PDF Author: Ilijas Farah
Publisher: American Mathematical Society
ISBN: 1470447576
Category : Mathematics
Languages : en
Pages : 127

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Book Description
View the abstract.

Model Theory of Mathrm C*-algebras

Model Theory of Mathrm C*-algebras PDF Author: Ilijas Farah
Publisher:
ISBN: 9781470466268
Category : C*-algebras
Languages : en
Pages : 142

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Book Description


Advances in Algebra and Model Theory

Advances in Algebra and Model Theory PDF Author: M Droste
Publisher: CRC Press
ISBN: 1000725278
Category : Mathematics
Languages : en
Pages : 516

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Book Description
Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community. The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered. This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.

C*-Algebras and Operator Theory

C*-Algebras and Operator Theory PDF Author: Gerald J. Murphy
Publisher: Academic Press
ISBN: 0080924964
Category : Mathematics
Languages : en
Pages : 297

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Book Description
This book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no prior acquaintance with operator theory is required.

Model Theory of Operator Algebras

Model Theory of Operator Algebras PDF Author: Isaac Goldbring
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110768283
Category : Mathematics
Languages : en
Pages : 498

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Book Description
Continuous model theory is an extension of classical first order logic which is best suited for classes of structures which are endowed with a metric. Applications have grown considerably in the past decade. This book is dedicated to showing how the techniques of continuous model theory are used to study C*-algebras and von Neumann algebras. This book geared to researchers in both logic and functional analysis provides the first self-contained collection of articles surveying the many applications of continuous logic to operator algebras that have been obtained in the last 15 years.

A Guide to Classical and Modern Model Theory

A Guide to Classical and Modern Model Theory PDF Author: Annalisa Marcja
Publisher: Springer Science & Business Media
ISBN: 9400708122
Category : Philosophy
Languages : en
Pages : 377

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Book Description
This volume is easily accessible to young people and mathematicians unfamiliar with logic. It gives a terse historical picture of Model Theory and introduces the latest developments in the area. It further provides 'hands-on' proofs of elimination of quantifiers, elimination of imaginaries and other relevant matters. The book is for trainees and professional model theorists, and mathematicians working in Algebra and Geometry.

Algebraic Model Theory

Algebraic Model Theory PDF Author: Bradd T. Hart
Publisher: Springer Science & Business Media
ISBN: 9401589232
Category : Mathematics
Languages : en
Pages : 285

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Book Description
Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras. The present book contains lectures on recent results in algebraic model theory, covering topics from the following areas: geometric model theory, the model theory of analytic structures, permutation groups in model theory, the spectra of countable theories, and the structure of finite algebras. Audience: Graduate students in logic and others wishing to keep abreast of current trends in model theory. The lectures contain sufficient introductory material to be able to grasp the recent results presented.

Model Theory, Algebra, and Geometry

Model Theory, Algebra, and Geometry PDF Author: Deirdre Haskell
Publisher: Cambridge University Press
ISBN: 9780521780681
Category : Mathematics
Languages : en
Pages : 244

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Book Description
Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.

Model Theory

Model Theory PDF Author: Chen Chung Chang
Publisher: Courier Corporation
ISBN: 0486488217
Category : Mathematics
Languages : en
Pages : 674

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Book Description
This bestselling textbook for higher-level courses was extensively revised in 1990 to accommodate developments in model theoretic methods. Topics include models constructed from constants, ultraproducts, and saturated and special models. 1990 edition.

Model Theory in Algebra, Analysis and Arithmetic

Model Theory in Algebra, Analysis and Arithmetic PDF Author: Lou van den Dries
Publisher: Springer
ISBN: 3642549365
Category : Mathematics
Languages : en
Pages : 201

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Book Description
Presenting recent developments and applications, the book focuses on four main topics in current model theory: 1) the model theory of valued fields; 2) undecidability in arithmetic; 3) NIP theories; and 4) the model theory of real and complex exponentiation. Young researchers in model theory will particularly benefit from the book, as will more senior researchers in other branches of mathematics.