Łojasiewicz inequalities for sets definable in the structure \({\mathbb R}_{\text{exp}}\)

DOI10.5802/aif.1480zbMath0831.14024OpenAlexW2476967549MaRDI QIDQ1903301

Ta Lê Loi

Publication date: 28 November 1995

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1995__45_4_951_0

zbMATH Keywords

Łojasiewicz exponentsŁojasiewicz inequalities

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Other analytical inequalities (26D20) Real algebraic and real-analytic geometry (14P99)

Related Items (8)

Łojasiewicz inequalities in o-minimal structures ⋮ Łojasiewicz exponents of certain analytic functions ⋮ Extensions of regular mappings and the Łojasiewicz exponent at infinity ⋮ Directional properties of sets definable in o-minimal structures ⋮ Effective formulas for the local Łojasiewicz exponent ⋮ ŁOJASIEWICZ-TYPE INEQUALITIES AND GLOBAL ERROR BOUNDS FOR NONSMOOTH DEFINABLE FUNCTIONS IN O-MINIMAL STRUCTURES ⋮ On gradients of functions definable in o-minimal structures ⋮ Effective formulas for the Łojasiewicz exponent at infinity

Cites Work

• Inégalités de Lojasiewicz globales. (Global Lojasiewicz inequalities)
• Sur les exposants de Lojasiewicz
• On the real exponential field with restricted analytic functions
• Topologically Noetherian analytic algebras. Khovanskij's theory
• Invariante holomorphe Funktionen auf reduktiven Liegruppen
• The Rank of a Hardy Field
• Differentiable functions
• Definable Sets in Ordered Structures. II
• Analytic cell decomposition of sets definable in the structure $ℝ_{exp}$
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