Equivalence of mappings at infinity

DOI10.1016/J.BULSCI.2012.01.005zbMath1253.14056OpenAlexW2005174903MaRDI QIDQ452081

Tomasz Rodak, Stanisław Spodzieja

Publication date: 19 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.bulsci.2012.01.005

zbMATH Keywords

polynomial mappingLojasiewicz exponentequivalence of mappings at infinityisotopy of mappings

Mathematics Subject Classification ID

Real-analytic sets, complex Nash functions (32C07) Nash functions and manifolds (14P20)

Related Items (8)

Metric properties of semialgebraic mappings ⋮ Topological triviality of deformations of regular mappings ⋮ Growth at infinity and index of polynomial maps ⋮ Łojasiewicz inequality for a pair of semialgebraic functions ⋮ Sufficient conditions for local equivalence of mappings ⋮ 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

• On analytic equivalence of functions at infinity
• La stabilité topologique des applications polynomiales
• Variétés polaires. I: Invariants polaires des singularites d'hypersurfaces
• Types topologiques des polynômes
• Ehresmann fibrations and Palais-Smale conditions for morphisms of Finsler manifolds
• The theorem of Kuiper-Kuo-Bochnak-Lojasiewicz at infinity
• On the generalized critical values of a polynomial mapping
• Semialgebraic Sard theorem for generalized critical values.
• Topology of a polynomial of two complex variables at the neighbourhood of infinity
• On \(C^0\)-sufficiency of jets of potential functions
• Sur Les Germes D'Applications Differentiables a Singularites Isolees
• On C⁰-Sufficiency of Complex Jets
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