Some continuous Positivstellensätze

DOI10.1016/0021-8693(89)90147-6zbMath0695.14011OpenAlexW2023868782MaRDI QIDQ909731

Philip Scowcroft

Publication date: 1989

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90147-6

zbMATH Keywords

Positivstellensätzecontinuous version of Hilbert's 17th problem

Mathematics Subject Classification ID

Real algebraic and real-analytic geometry (14Pxx)

Related Items

Impossibility of \(C^{\infty}\) variation or formal power series variation in solutions to Hilbert's 17th problem, Continuity properties for flat families of polynomials. I: Continuous parametrizations, A real Nullstellensatz and Positivstellensatz for the semipolynomials over an ordered field

Cites Work

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• A continuous, constructive solution to Hilbert's \(17^{th}\) problem
• Separation, retractions and homotopy extension in semialgebraic spaces
• Integral solution of Hilbert's seventeenth problem
• A Nullstellensatz and a Positivstellensatz in semialgebraic geometry