ŁOJASIEWICZ INEQUALITY ON NON-COMPACT DOMAINS AND SINGULARITIES AT INFINITY

DOI10.1142/S0129167X13500791zbMath1282.14100OpenAlexW2142436535MaRDI QIDQ2863009

Olivier Le Gal, Dinh Tiep Si, Krzysztof Kurdyka

Publication date: 20 November 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x13500791

zbMATH Keywords

real polynomialglobal Łojasiewicz inequalityvanishing component

Mathematics Subject Classification ID

Real algebraic sets (14P05) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Analytic subsets of affine space (32B15) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (8)

Global Łojasiewicz inequalities on comparing the rate of growth of polynomial functions ⋮ Lipschitz continuity of tangent directions at infinity ⋮ On the global Łojasiewicz inequality for polynomial functions ⋮ The Łojasiewicz exponent at infinity of non-negative and non-degenerate polynomials ⋮ Global Łojasiewicz-type inequality for non-degenerate polynomial maps ⋮ Volume estimates of sublevel sets of real polynomials ⋮ A global smooth version of the classical Łojasiewicz inequality ⋮ Unnamed Item

Cites Work

• Asymptotic behaviour of families of real curves
• Nonconvex minimization problems
• ŁOJASIEWICZ INEQUALITY FOR POLYNOMIAL FUNCTIONS ON NON-COMPACT DOMAINS
• Ensembles et morphismes stratifiés
• Atypical values at infinity of a polynomial function on the real plane: An erratum, and an algorithmic criterion
• Łojasiewicz inequality at infinity for polynomials in two real variables

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