Finite determinacy of non-isolated singularities

DOI10.4064/ap3835-5-2016zbMath1357.14069arXiv1506.01243OpenAlexW2513012260MaRDI QIDQ2833618

Tomasz Rodak, Stanisław Spodzieja, Piotr Migus

Publication date: 18 November 2016

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01243

zbMATH Keywords

singularityŁojasiewicz exponentfinite determinacynon-isolated singularitysufficiency of jet

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Real algebraic and real-analytic geometry (14P99) Real-analytic sets, complex Nash functions (32C07) Nash functions and manifolds (14P20) Classification; finite determinacy of map germs (58K40)

Related Items (5)

Topological triviality of deformations of regular mappings ⋮ Characterisations of \(V\)-sufficiency and \(C^0\)-sufficiency of relative jets ⋮ Sufficient conditions for local equivalence of mappings ⋮ Effective Lojasiewicz gradient inequality for Nash functions with application to finite determinacy of germs ⋮ \(C^T\)-right equivalence of analytic functions

Cites Work

• Equivalence of mappings at infinity
• On analytic equivalence of functions at infinity
• Topological triviality of deformations of functions and Newton filtrations
• Singularities with critical locus a 1-dimensional complete intersection and transversal type \(A_ 1\)
• 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
• Finite relative determination and relative stability
• Finite determinacy relative to closed and finitely generated ideals
• Semialgebraic Sard theorem for generalized critical values.
• Generalizations of a lemma of Freudenburg
• The modified analytic trivialization of family of real analytic functions
• Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
• On \(C^0\)-sufficiency of jets of potential functions
• \(C^{0}\)-sufficiency, Kuiper-Kuo and Thom conditions for non-isolated singularity
• SINGULARITIES OF FUNCTIONS ON BOUNDARIES, CORNERS, ETC.
• Finite Determinacy of Functions with Non-Isolated Singularities
• Sur Les Germes D'Applications Differentiables a Singularites Isolees
• Finite Determination on Algebraic Sets
• Topologically Principal Part of Analytic Functions
• On C⁰-Sufficiency of Complex Jets

This page was built for publication: Finite determinacy of non-isolated singularities