Author: Lou Van den Dries
Publisher: Cambridge University Press
ISBN: 0521598389
Category : Mathematics
Languages : en
Pages : 196
Book Description
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
Author: Lou Van den Dries
Publisher: Cambridge University Press
ISBN: 0521598389
Category : Mathematics
Languages : en
Pages : 196
Book Description
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.
Publisher: Cambridge University Press
ISBN: 0521598389
Category : Mathematics
Languages : en
Pages : 196
Book Description
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
Author: L. P. D. van den Dries
Publisher:
ISBN: 9781107367524
Category : Electronic books
Languages : en
Pages : 192
Book Description
These notes give a self-contained treatment of the theory of o-minimal structures.
Publisher:
ISBN: 9781107367524
Category : Electronic books
Languages : en
Pages : 192
Book Description
These notes give a self-contained treatment of the theory of o-minimal structures.
O-minimal Structures
Author: Mário J. Edmundo
Publisher: Cuvillier Verlag
ISBN: 386537557X
Category :
Languages : en
Pages : 223
Book Description
Publisher: Cuvillier Verlag
ISBN: 386537557X
Category :
Languages : en
Pages : 223
Book Description
Lecture Notes on O-Minimal Structures and Real Analytic Geometry
Author: Chris Miller
Publisher: Springer Science & Business Media
ISBN: 1461440416
Category : Mathematics
Languages : en
Pages : 247
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 1461440416
Category : Mathematics
Languages : en
Pages : 247
Book Description
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
Author: Deirdre Haskell
Publisher: Cambridge University Press
ISBN: 9780521780681
Category : Mathematics
Languages : en
Pages : 244
Book Description
Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.
Publisher: Cambridge University Press
ISBN: 9780521780681
Category : Mathematics
Languages : en
Pages : 244
Book Description
Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.
O-Minimality and Diophantine Geometry
Author: G. O. Jones
Publisher: Cambridge University Press
ISBN: 1316301060
Category : Mathematics
Languages : en
Pages : 235
Book Description
This collection of articles, originating from a short course held at the University of Manchester, explores the ideas behind Pila's proof of the Andre–Oort conjecture for products of modular curves. The basic strategy has three main ingredients: the Pila–Wilkie theorem, bounds on Galois orbits, and functional transcendence results. All of these topics are covered in this volume, making it ideal for researchers wishing to keep up to date with the latest developments in the field. Original papers are combined with background articles in both the number theoretic and model theoretic aspects of the subject. These include Martin Orr's survey of abelian varieties, Christopher Daw's introduction to Shimura varieties, and Jacob Tsimerman's proof via o-minimality of Ax's theorem on the functional case of Schanuel's conjecture.
Publisher: Cambridge University Press
ISBN: 1316301060
Category : Mathematics
Languages : en
Pages : 235
Book Description
This collection of articles, originating from a short course held at the University of Manchester, explores the ideas behind Pila's proof of the Andre–Oort conjecture for products of modular curves. The basic strategy has three main ingredients: the Pila–Wilkie theorem, bounds on Galois orbits, and functional transcendence results. All of these topics are covered in this volume, making it ideal for researchers wishing to keep up to date with the latest developments in the field. Original papers are combined with background articles in both the number theoretic and model theoretic aspects of the subject. These include Martin Orr's survey of abelian varieties, Christopher Daw's introduction to Shimura varieties, and Jacob Tsimerman's proof via o-minimality of Ax's theorem on the functional case of Schanuel's conjecture.
Characterizing O-minimal Groups in Tame Expansions of O-minimal Structures
A Guide to NIP Theories
Author: Pierre Simon
Publisher: Cambridge University Press
ISBN: 1107057752
Category : Mathematics
Languages : en
Pages : 165
Book Description
The first book to introduce the rapidly developing subject of NIP theories, for students and researchers in model theory.
Publisher: Cambridge University Press
ISBN: 1107057752
Category : Mathematics
Languages : en
Pages : 165
Book Description
The first book to introduce the rapidly developing subject of NIP theories, for students and researchers in model theory.
Computational Aspects of General Equilibrium Theory
Author: Donald Brown
Publisher: Springer Science & Business Media
ISBN: 3540765913
Category : Business & Economics
Languages : en
Pages : 204
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 3540765913
Category : Business & Economics
Languages : en
Pages : 204
Book Description
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
Author: Costas Dimitracopoulos
Publisher: Cambridge University Press
ISBN: 1139467255
Category : Mathematics
Languages : en
Pages : 272
Book Description
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.
Publisher: Cambridge University Press
ISBN: 1139467255
Category : Mathematics
Languages : en
Pages : 272
Book Description
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.