Abstract
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.
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© 1996 Springer-Verlag Berlin Heidelberg
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Andradas, C., Bröcker, L., Ruiz, J.M. (1996). Introduction. In: Constructible Sets in Real Geometry. Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge A Series of Modern Surveys in Mathematics, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80024-5_1
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DOI: https://doi.org/10.1007/978-3-642-80024-5_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-80026-9
Online ISBN: 978-3-642-80024-5
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