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Introduction

Chapter
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge A Series of Modern Surveys in Mathematics book series (MATHE3, volume 33)

Abstract

Let A be the ring of polynomials in n indeterminates over ℝ. Then any subset S of ℝ n 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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  1. 1.Departamento de AlgebraUniversidad Complutense de MadridMadridSpain
  2. 2.Mathematisches InstitutUniversität MünsterMünsterGermany
  3. 3.Departamento de Geometría y TopologíaUniversidad Complutense de MadridMadridSpain

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