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Erschienen in:
Buchtitelbild

1996 | OriginalPaper | Buchkapitel

Introduction

verfasst von : Carlos Andradas, Ludwig Bröcker, Jesús M. Ruiz

Erschienen in: Constructible Sets in Real Geometry

Verlag: Springer Berlin Heidelberg

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Let A be the ring of polynomials in n indeterminates over ℝ. Then any subset S of ℝn which is the solution set of a polynomial system ƒ1(x) > 0, …, ƒ k (x) > 0 is also the solution set of a system of n inequalities g1(x) > 0, … g n (x) > 0, no matter how big k is. This observation, made about twelve years ago for n ≤ 3 and proved in full generality five years later is the starting point of the present book.

Metadaten
Titel
Introduction
verfasst von
Carlos Andradas
Ludwig Bröcker
Jesús M. Ruiz
Copyright-Jahr
1996
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-80024-5_1