Local topological properties of differentiable mappings. I

DOI10.1007/BF01389013zbMath0499.58008OpenAlexW1981697702MaRDI QIDQ1171797

Takuo Fukuda

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/142849

zbMATH Keywords

cone of a knotdifferentiable germtopological properties of differentiable mappingstopologically stable mapping

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Stratified sets (58A35)

Related Items (23)

Whitney's umbrellas in stable perturbations of a map germ \((\mathbb R^n,0)\to (\mathbb R^{2n-1},0)\) ⋮ Local invariants of singular surfaces in an almost complex four-manifold ⋮ Double points in families of map germs from ℝ2 to ℝ3 ⋮ Topological stability theorem for composite mappings ⋮ The Reeb graph of a map germ from \(\mathbb {R}^3\) to \(\mathbb {R}^2\) with non isolated zeros ⋮ Topological \({\mathcal{K}}\)-classification of finitely determined map germs ⋮ Some remarks about the topology of corank 2 map germs from R^2 to R^2 ⋮ Gauss words and the topology of map germs from \(\mathbb{R}^3\) to \(\mathbb{R}^3\) ⋮ The link of a finitely determined map germ from \(R^{2}\) to \(R^{2}\) ⋮ The dual tree of a fold map germ from to ⋮ Topology of fold map germs from \(\mathbb{R}^3\) to \(\mathbb{R}^5\) ⋮ The link of a frontal surface singularity ⋮ Knots and the topology of singular surfaces in ℝ⁴ ⋮ On the topology of stable maps ⋮ The Reeb Graph of a Map Germ from ℝ³ to ℝ² with Isolated Zeros ⋮ Topological classification and finite determinacy of knotted maps ⋮ Poisson-Lie algebras and singular symplectic forms associated to corank 1 type singularities ⋮ Topology of simple singularities of ruled surfaces in \(\mathbb{R}^p\) ⋮ Symplectic singularities and solvable Hamiltonian mappings ⋮ Topological classification of corank 1 map germs from \(\mathbb R^3\) to \(\mathbb R^3\) ⋮ The doodle of a finitely determined map germ from \(\mathbb R^2\) to \(\mathbb R^3\) ⋮ Cobordism of Morse maps and its application to map germs ⋮ Finitely determined singularities of ruled surfaces in ³

Cites Work

• Unnamed Item
• On manifolds homeomorphic to the 7-sphere
• Types topologiques des polynômes
• Tangents to an analytic variety
• Stability of \(C^ \infty\) mappings. I: The division theorem
• Singularities of differentiable maps
• Are Maps Finitely Determined in General?

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