On gradient at infinity of semialgebraic functions

DOI10.4064/ap87-0-4zbMath1092.32004OpenAlexW2118221754MaRDI QIDQ5469360

Didier D'Acunto, Vincent Grandjean

Publication date: 18 May 2006

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap87-0-4

zbMATH Keywords

semialgebraic functionsMalgrange conditiongradient trajectoriesŁojasiewicz inequalities

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Semialgebraic sets and related spaces (14P10) Local analytic geometry (32B99) Local complex singularities (32S05)

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On the limit set at infinity of a gradient trajectory of a semialgebraic function ⋮ Estimating the set of bifurcation values of a smooth function ⋮ Lipschitz continuity of tangent directions at infinity ⋮ A convex function satisfying the Łojasiewicz inequality but failing the gradient conjecture both at zero and infinity ⋮ Thom isotopy theorem for nonproper maps and computation of sets of stratified generalized critical values ⋮ Tame functions with strongly isolated singularities at infinity: a tame version of a Parusiński's theorem ⋮ Coercive Polynomials and Their Newton Polytopes

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