Łojasiewicz inequalities in o-minimal structures

DOI10.1007/s00229-015-0806-yzbMath1342.14120OpenAlexW2275785640MaRDI QIDQ276046

Ta Lê Loi

Publication date: 26 April 2016

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-015-0806-y

zbMATH Keywords

Łojasiewicz inequalityo-minimal structure

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Other analytical inequalities (26D20)

Related Items (4)

Global Łojasiewicz inequalities on comparing the rate of growth of polynomial functions ⋮ Global convergence of the gradient method for functions definable in o-minimal structures ⋮ Hölder-Łojasiewicz inequalities for volumes of tame objects ⋮ Volumes of sub-level sets and the decay of oscillatory integrals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integral closure of ideals and equisingularity
• Bifurcation sets of functions definable in \(o\)-minimal structures
• On gradients of functions definable in o-minimal structures
• Łojasiewicz inequalities for sets definable in the structure \({\mathbb R}_{\text{exp}}\)
• Geometric categories and o-minimal structures
• On the division of distributions by polynomials
• Directional properties of sets definable in o-minimal structures
• On \(C^0\)-sufficiency of jets of potential functions
• On the Łojasiewicz numbers. II
• A gradient inequality at infinity for tame functions
• Clarke Subgradients of Stratifiable Functions
• Valeurs critiques asymptotiques d'une fonction définissable dans une structure o-minimale
• The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems
• Sur le problème de la division
• Proof of the gradient conjecture of R. Thom.

This page was built for publication: Łojasiewicz inequalities in o-minimal structures