\(C^{0}\)-sufficiency, Kuiper-Kuo and Thom conditions for non-isolated singularity

DOI10.1007/S10114-005-0879-8zbMath1130.58023OpenAlexW2002626971MaRDI QIDQ2644352

Xu Xu

Publication date: 31 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0879-8

zbMATH Keywords

non-isolated singularityThom condition\(C^0\)-sufficiencyKuiper-Kuo condition

Mathematics Subject Classification ID

Topological properties of mappings on manifolds (58K15) Algebraic and analytic properties of mappings on manifolds (58K20)

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 ⋮ Finite determinacy of non-isolated singularities

Cites Work

• Unnamed Item
• Semianalytic and subanalytic sets
• The Kuo condition, an inequality of Thom's type and \((c)\)-regularity
• Finite relative determination and relative stability
• Projections of semi-analytic sets
• On \(C^0\)-sufficiency of jets of potential functions

This page was built for publication: \(C^{0}\)-sufficiency, Kuiper-Kuo and Thom conditions for non-isolated singularity