Lecture Notes on O-Minimal Structures and Real Analytic Geometry

• Corporate Author: SpringerLink (Online service)
• Other Authors: Miller, Chris (Editor), Rolin, Jean-Philippe (Editor), Speissegger, Patrick (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2012.
• Series: Fields Institute Communications, 62
• Subjects: Mathematics.; Algebra.; Group theory.; Mathematical logic.; Mathematical Logic and Foundations.; General Algebraic Systems.; Group Theory and Generalizations.

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 proo...

Table of Contents:

• Preface
• Blowings-up of Vector Fields (F. Cano)
• Basics of o-Minimality and Hardy Fields (C. Miller)
• Construction of o-Minimal Structures from Quasianalytic Classes (J.-P. Rolin)
• Course on Non-Oscillatory Trajectories
• F.S. Sánchez)
• Pfaffian Sets and o-Minimality (P. Speissegger)
• Theorems of the Complement (A. Fornasiero, T. Servi).