Tame Topology and O-minimal Structures

Tame Topology and O-minimal Structures PDF

Author: Lou Van den Dries

Publisher: Cambridge University Press

Published: 1998-05-07

Total Pages: 196

ISBN-13: 0521598389

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These notes give a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpoint, assuming only rudimentary algebra and analysis. This book should be of interest to model theorists, analytic geometers and topologists.

Lecture Notes on O-Minimal Structures and Real Analytic Geometry

Lecture Notes on O-Minimal Structures and Real Analytic Geometry PDF

Author: Chris Miller

Publisher: Springer Science & Business Media

Published: 2012-09-14

Total Pages: 247

ISBN-13: 1461440416

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​This volume was produced in conjunction with the Thematic Program in o-Minimal Structures and Real Analytic Geometry, held from January to June of 2009 at the Fields Institute. Five of the six contributions consist of notes from graduate courses associated with the program: Felipe Cano on a new proof of resolution of singularities for planar analytic vector fields; Chris Miller on o-minimality and Hardy fields; Jean-Philippe Rolin on the construction of o-minimal structures from quasianalytic classes; Fernando Sanz on non-oscillatory trajectories of vector fields; and Patrick Speissegger on pfaffian sets. The sixth contribution, by Antongiulio Fornasiero and Tamara Servi, is an adaptation to the nonstandard setting of A.J. Wilkie's construction of o-minimal structures from infinitely differentiable functions. Most of this material is either unavailable elsewhere or spread across many different sources such as research papers, conference proceedings and PhD theses. This book will be a useful tool for graduate students or researchers from related fields who want to learn about expansions of o-minimal structures by solutions, or images thereof, of definable systems of differential equations. ​

Model Theory, Algebra, and Geometry

Model Theory, Algebra, and Geometry PDF

Author: Deirdre Haskell

Publisher: Cambridge University Press

Published: 2000-07-03

Total Pages: 244

ISBN-13: 9780521780681

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

O-Minimality and Diophantine Geometry

O-Minimality and Diophantine Geometry PDF

Author: G. O. Jones

Publisher: Cambridge University Press

Published: 2015-08-13

Total Pages: 235

ISBN-13: 1107462495

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This book brings the researcher up to date with recent applications of mathematical logic to number theory.

Computational Aspects of General Equilibrium Theory

Computational Aspects of General Equilibrium Theory PDF

Author: Donald Brown

Publisher: Springer Science & Business Media

Published: 2008-01-08

Total Pages: 204

ISBN-13: 3540765913

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This monograph presents a general equilibrium methodology for microeconomic policy analysis. It is intended to serve as an alternative to the now classical, axiomatic general equilibrium theory as exposited in Debreu`s Theory of Value (1959) or Arrow and Hahn`s General Competitive Analysis (1971). The monograph consists of several essays written over the last decade. It also contains an appendix by Charles Steinhorn on the elements of O-minimal structures.

Logic Colloquium 2005

Logic Colloquium 2005 PDF

Author: Costas Dimitracopoulos

Publisher: Cambridge University Press

Published: 2007-12-03

Total Pages: 272

ISBN-13: 1139467255

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The Annual European Meeting of the Association for Symbolic Logic, generally known as the Logic Colloquium, is the most prestigious annual meeting in the field. Many of the papers presented there are invited surveys of developments, and the rest of the papers are chosen to complement the invited talks. This 2007 volume includes surveys, tutorials, and selected research papers from the 2005 meeting. Highlights include three papers on different aspects of connections between model theory and algebra; a survey of major advances in combinatorial set theory; a tutorial on proof theory and modal logic; and a description of Bernay's philosophy of mathematics.

Logic Colloquium 2007

Logic Colloquium 2007 PDF

Author: Françoise Delon

Publisher: Cambridge University Press

Published: 2010-06-07

Total Pages: 282

ISBN-13: 1139488937

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The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume, Logic Colloquium 2007, with contributions from plenary speakers and selected special session speakers, contains both expository and research papers by some of the best logicians in the world. This volume covers many areas of contemporary logic: model theory, proof theory, set theory, and computer science, as well as philosophical logic, including tutorials on cardinal arithmetic, on Pillay's conjecture, and on automatic structures. This volume will be invaluable for experts as well as those interested in an overview of central contemporary themes in mathematical logic.