An o-minimal structure without mild parameterization

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Mild Parameterization in O-Minimal Structures

This work stems from an ongoing investigation into the distribution of rational points lying on particular sets in R. This is a question within transcendental number theory, but it appears that the model theory of o-minimal structures is a very suitable context in which to consider it. The origins of this current research lie in work of Bombieri and Pila ([1]), which established various estimat...

متن کامل

Minimal Parameterization of Multiple View Geometry

Motivation: Fast and inexpensive processors, cameras, and storage are making feasible a variety of applications involving image sequences and collections, ranging from visually intelligent automobiles to enhanced sports viewing to home video manipulation. A prerequisite for many of these applications is knowledge of the physical positions of the cameras that captured the original images, whethe...

متن کامل

0 An introduction to o - minimal structures ∗

The first papers on o-minimal structures appeared in the mid 1980s, since then the subject has grown into a wide ranging gener-alisation of semialgebraic, subanalytic and subpfaffian geometry. In these notes we will try to show that this is in fact the case by presenting several examples of o-minimal structures and by listing some geometric properties of sets and maps definable in o-minimal str...

متن کامل

An o-minimal Szemerédi-Trotter theorem

We prove an analog of the Szemerédi-Trotter theorem in the plane for definable curves and points in any o-minimal structure over an arbitrary real closed field R. One new ingredient in the proof is an extension of the well known crossing number inequality for graphs to the case of embeddings in any o-minimal structure over an arbitrary real closed field.

متن کامل

An Introduction to O-minimal Geometry

Preface These notes have served as a basis for a course in Pisa in Spring 1999. A parallel course on the construction of o-minimal structures was given by A. Macintyre. The content of these notes owes a great deal to the excellent book by L. van den Dries [vD]. Some interesting topics contained in this book are not included here, such as the Vapnik-Chervonenkis property. Part of the material wh...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Annals of Pure and Applied Logic

سال: 2011

ISSN: 0168-0072

DOI: 10.1016/j.apal.2010.11.004