On analytic equivalence of functions at infinity

DOI10.1016/j.bulsci.2011.02.005zbMath1225.32032OpenAlexW1968915506MaRDI QIDQ554232

Grzegorz Skalski

Publication date: 29 July 2011

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2011.02.005

zbMATH Keywords

polynomialreal analytic functionLojasiewicz exponentanalytic equivalence at infinity

Mathematics Subject Classification ID

Local complex singularities (32S05) Real-analytic functions (26E05) Real-analytic manifolds, real-analytic spaces (32C05) Analytic algebras and generalizations, preparation theorems (32B05)

Related Items (5)

Topological triviality of deformations of regular mappings ⋮ Equivalence of mappings at infinity ⋮ Effective Lojasiewicz gradient inequality for Nash functions with application to finite determinacy of germs ⋮ Finite determinacy of non-isolated singularities ⋮ Analytically principal part of polynomials at infinity

Cites Work

• La stabilité topologique des applications polynomiales
• Equivalence of differentiable functions, rational functions and polynomials
• Nash triviality in families of Nash manifolds
• Types topologiques des polynômes
• The theorem of Kuiper-Kuo-Bochnak-Lojasiewicz at infinity
• On the Łojasiewicz exponent at infinity for polynomial functions
• On \(C^0\)-sufficiency of jets of potential functions
• On asymptotic critical values of a complex polynomial
• The Łojasiewicz exponent of subanalytic sets
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