Topological triviality of deformations of functions and Newton filtrations

DOI10.1007/BF01398391zbMath0519.58021OpenAlexW2063798866MaRDI QIDQ1054338

Terence Gaffney, James Damon

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143025

zbMATH Keywords

Milnor numberjump conditionsfiltration conditionpush-off lemma

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items

Łojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations, Motivic-type invariants of blow-analytic equivalence., Topological Equisingularity: Old Problems from a New Perspective (with an Appendix by G.-M. Greuel and G. Pfister on SINGULAR), The theory of stratification relative to a Newton polyhedron., Topological triviality of deformations of regular mappings, Torelli theorems for singularities, Topological equisingularity of hypersurfaces with 1-dimensional critical set, The versality discriminant and local topological equivalence of mappings, Newton polygons and topological determinacy of analytic germs, Integral closure of modules and Whitney equisingularity, Effective Lojasiewicz gradient inequality for Nash functions with application to finite determinacy of germs, The Łojasiewicz exponent of nondegenerate surface singularities, On the freeness of equisingular deformations of plane curve singularities, Finite determinacy of non-isolated singularities, Analytically principal part of polynomials at infinity, Topological triviality of deformations of functions and Newton filtrations, Pre-weighted homogeneous map germs—Finite determinacy and topological triviality

Cites Work

• Unnamed Item
• Unnamed Item
• Topological triviality of deformations of functions and Newton filtrations
• Topological type in families of germs
• Finite determinacy and topological triviality. I
• Spectral sequence for reduction of functions to normal form
• Polyedres de Newton et nombres de Milnor
• Local normal forms of functions
• On the semi-universal deformation of a simple-elliptic hypersurface singularity. I: Unimodularity
• The Invariance of Milnor's Number Implies the Invariance of the Topological Type
• The Invariance of Milnor's Number Implies Topological Triviality
• On Minimally Elliptic Singularities