On finiteness theorems of polynomial functions

DOI10.1007/s40879-022-00539-3zbMath1491.14082arXiv2106.09918OpenAlexW3176841292WikidataQ113891382 ScholiaQ113891382MaRDI QIDQ2157476

Laurentiu Paunescu, Satoshi Koike

Publication date: 22 July 2022

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

Full work available at URL: https://arxiv.org/abs/2106.09918

zbMATH Keywords

polynomial functiontopological equivalenceNash functionsemialgebraic equivalence

Mathematics Subject Classification ID

Equisingularity (topological and analytic) (32S15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Semialgebraic sets and related spaces (14P10) Singularities of differentiable mappings in differential topology (57R45) Nash functions and manifolds (14P20)

Related Items (1)

Bi-Hölder equivalence of real analytic functions

Cites Work

• Nash manifolds
• On condition \((a_f)\) of a stratified mapping.
• Finiteness of semialgebraic types of polynomial functions
• Types topologiques des polynômes
• Topological stability of smooth mappings
• Geometry of subanalytic and semialgebraic sets
• Nash trivial simultaneous resolution for a family of zero-sets of Nash mappings
• Global problems on Nash functions
• Finiteness of semialgebraic types of Nash mappings defined on a Nash surface
• On periodic points
• Tangents to an analytic variety
• A new decision method for elementary algebra
• Finiteness theorem for blow-semialgebraic triviality of a family of three-dimensional algebraic sets
• Geometric versions of Whitney regularity for smooth stratifications
• Deformations of real analytic functions and the natural stratification of the space of real analytic functions
• Notes on Topological Stability
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