The open quadrant problem: A topological proof

zbMath1348.14135arXiv1502.08035MaRDI QIDQ2990349

Carlos Ueno, José F. Fernando, Jose Manuel Gamboa

Publication date: 29 July 2016

Full work available at URL: https://arxiv.org/abs/1502.08035

zbMATH Keywords

semialgebraic setopen quadrantpolynomial imagetotal degreepolynomial grouptotal number of monomials

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Convex sets in (2) dimensions (including convex curves) (52A10) Polynomials, rational functions in real analysis (26C99)

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On polynomial images of a closed ball ⋮ Surjective Nash maps between semialgebraic sets ⋮ Polynomial, regular and Nash images of Euclidean spaces ⋮ On the existence of Pareto solutions for polynomial vector optimization problems ⋮ Complements of unbounded convex polyhedra as polynomial images of \({{\mathbb{R}}}^n\)

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