Topological type in families of germs

DOI10.1007/BF01391660zbMath0477.58010OpenAlexW1997317170MaRDI QIDQ1160962

Henry C. King

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/142763

zbMATH Keywords

homology cobordisminvertible cobordismchanging of real function germs under continuous deformationscoalescing of critical pointscontinuous family of weighted homogeneous polynomial germstopological type of a germ

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Other types of cobordism (57R90) Critical points and critical submanifolds in differential topology (57R70) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Algebraic topology on manifolds and differential topology (57R19) Complex singularities (32Sxx)

Related Items

Topological Equisingularity: Old Problems from a New Perspective (with an Appendix by G.-M. Greuel and G. Pfister on SINGULAR), Modified Nash triviality of a family of zero-sets of weighted homogeneous polynomial mappings, On the topology of the Milnor-Lê fibration for functions of three real variables, Double points in families of map germs from ℝ2 to ℝ3, Topological characteristics of extremals of variational problems, Topological \({\mathcal{K}}\)-classification of finitely determined map germs, Multiplicity of complex hypersurface singularities, Rouché satellites and Zariski's problem, Topological equisingularity of hypersurfaces with 1-dimensional critical set, Monotonic invariants under blowups, Topological triviality of family of functions and sets, Aspects of defect topology in smectic liquid crystals, Examples in the Theory of Sufficiency of Jets, Atypical points at infinity and algorithmic detection of the bifurcation locus of real polynomials, Modified Nash triviality of a family of zero-sets of real polynomial mappings, Topological equivalence of germs of functions, Topological Triviality of a Family of Zero-Sets, Topological triviality of deformations of functions and Newton filtrations, Topological equivalence of complex polynomials

Cites Work

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• The Invariance of Milnor's Number Implies Topological Triviality
• Singular Points of Complex Hypersurfaces. (AM-61)