Tame Topology And O Minimal Structures


Tame Topology And O Minimal Structures
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Tame Topology And O Minimal Structures


Tame Topology And O Minimal Structures
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Author : Lou Van den Dries
language : en
Publisher: Cambridge University Press
Release Date : 1998-05-07

Tame Topology And O Minimal Structures written by Lou Van den Dries and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-07 with Mathematics categories.


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.



Tame Topology And O Minimal Structures


Tame Topology And O Minimal Structures
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Author : L. P. D. van den Dries
language : en
Publisher:
Release Date : 1998

Tame Topology And O Minimal Structures written by L. P. D. van den Dries and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Electronic books categories.


These notes give a self-contained treatment of the theory of o-minimal structures.



O Minimal Structures


O Minimal Structures
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Author : Mário J. Edmundo
language : en
Publisher: Cuvillier Verlag
Release Date : 2005

O Minimal Structures written by Mário J. Edmundo and has been published by Cuvillier Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.




Lecture Notes On O Minimal Structures And Real Analytic Geometry


Lecture Notes On O Minimal Structures And Real Analytic Geometry
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Author : Chris Miller
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-14

Lecture Notes On O Minimal Structures And Real Analytic Geometry written by Chris Miller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-14 with Mathematics categories.


​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. ​



Computational Aspects Of General Equilibrium Theory


Computational Aspects Of General Equilibrium Theory
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Author : Donald Brown
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-08

Computational Aspects Of General Equilibrium Theory written by Donald Brown and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-08 with Business & Economics categories.


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
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Author : Costas Dimitracopoulos
language : en
Publisher: Cambridge University Press
Release Date : 2007-12-03

Logic Colloquium 2005 written by Costas Dimitracopoulos and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-03 with Mathematics categories.


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
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Author : Françoise Delon
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-07

Logic Colloquium 2007 written by Françoise Delon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-07 with Mathematics categories.


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.



Non Archimedean Tame Topology And Stably Dominated Types Am 192


Non Archimedean Tame Topology And Stably Dominated Types Am 192
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Author : Ehud Hrushovski
language : en
Publisher: Princeton University Press
Release Date : 2016-02-09

Non Archimedean Tame Topology And Stably Dominated Types Am 192 written by Ehud Hrushovski and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-09 with Mathematics categories.


Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject many of its topological insights. In recent decades, model theory has joined this work through the theory of o-minimality, providing finiteness and uniformity statements and new structural tools. For non-archimedean fields, such as the p-adics, the Berkovich analytification provides a connected topology with many thoroughgoing analogies to the real topology on the set of complex points, and it has become an important tool in algebraic dynamics and many other areas of geometry. This book lays down model-theoretic foundations for non-archimedean geometry. The methods combine o-minimality and stability theory. Definable types play a central role, serving first to define the notion of a point and then properties such as definable compactness. Beyond the foundations, the main theorem constructs a deformation retraction from the full non-archimedean space of an algebraic variety to a rational polytope. This generalizes previous results of V. Berkovich, who used resolution of singularities methods. No previous knowledge of non-archimedean geometry is assumed. Model-theoretic prerequisites are reviewed in the first sections.





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Author :
language : en
Publisher: World Scientific
Release Date :

written by and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Proceedings Of The International Congress Of Mathematicians 2010 Icm 2010 In 4 Volumes Vol I Plenary Lectures And Ceremonies Vols Ii Iv Invited Lectures


Proceedings Of The International Congress Of Mathematicians 2010 Icm 2010 In 4 Volumes Vol I Plenary Lectures And Ceremonies Vols Ii Iv Invited Lectures
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Author : Bhatia Rajendra
language : en
Publisher: World Scientific
Release Date : 2011-06-06

Proceedings Of The International Congress Of Mathematicians 2010 Icm 2010 In 4 Volumes Vol I Plenary Lectures And Ceremonies Vols Ii Iv Invited Lectures written by Bhatia Rajendra and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-06 with Mathematics categories.


ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.