Tame Topology and O-minimal Structures
Title | Tame Topology and O-minimal Structures PDF eBook |
Author | Lou Van den Dries |
Publisher | Cambridge University Press |
Pages | 196 |
Release | 1998-05-07 |
Genre | Mathematics |
ISBN | 0521598389 |
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
Title | Tame Topology and O-minimal Structures PDF eBook |
Author | L. P. D. van den Dries |
Publisher | |
Pages | 192 |
Release | 1998 |
Genre | Electronic books |
ISBN | 9781107367524 |
These notes give a self-contained treatment of the theory of o-minimal structures.
Model Theory, Algebra, and Geometry
Title | Model Theory, Algebra, and Geometry PDF eBook |
Author | Deirdre Haskell |
Publisher | Cambridge University Press |
Pages | 244 |
Release | 2000-07-03 |
Genre | Mathematics |
ISBN | 9780521780681 |
Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.
Lecture Notes on O-Minimal Structures and Real Analytic Geometry
Title | Lecture Notes on O-Minimal Structures and Real Analytic Geometry PDF eBook |
Author | Chris Miller |
Publisher | Springer Science & Business Media |
Pages | 247 |
Release | 2012-09-14 |
Genre | Mathematics |
ISBN | 1461440416 |
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.
O-minimal Structures
Title | O-minimal Structures PDF eBook |
Author | Mário J. Edmundo |
Publisher | Cuvillier Verlag |
Pages | 223 |
Release | 2005 |
Genre | |
ISBN | 386537557X |
O-Minimality and Diophantine Geometry
Title | O-Minimality and Diophantine Geometry PDF eBook |
Author | G. O. Jones |
Publisher | Cambridge University Press |
Pages | 235 |
Release | 2015-08-13 |
Genre | Mathematics |
ISBN | 1107462495 |
This book brings the researcher up to date with recent applications of mathematical logic to number theory.
Characterizing O-minimal Groups in Tame Expansions of O-minimal Structures
Title | Characterizing O-minimal Groups in Tame Expansions of O-minimal Structures PDF eBook |
Author | Pantelis E. Eleftheriou |
Publisher | |
Pages | |
Release | 2021 |
Genre | |
ISBN |