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Über dieses Buch

​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. ​

Inhaltsverzeichnis

Frontmatter

2012 | OriginalPaper | Buchkapitel

Blowings-Up of Vector Fields

Felipe Cano

2012 | OriginalPaper | Buchkapitel

Basics of O-minimality and Hardy Fields

Chris Miller

2012 | OriginalPaper | Buchkapitel

Construction of O-minimal Structures from Quasianalytic Classes

Jean-Philippe Rolin

2012 | OriginalPaper | Buchkapitel

Course on Non-oscillatory Trajectories

Fernando Sanz Sánchez

2012 | OriginalPaper | Buchkapitel

Pfaffian Sets and O-minimality

Patrick Speissegger

2012 | OriginalPaper | Buchkapitel

Theorems of the Complement

Antongiulio Fornasiero, Tamara Servi
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