On the number of cusps of stable perturbations of a plane-to-plane singularity

DOI10.3836/tjm/1270134520zbMath0652.58012OpenAlexW1990041965MaRDI QIDQ1107180

Takuo Fukuda, Go-o Ishikawa

Publication date: 1987

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270134520

zbMATH Keywords

mapping degreenumber of cusps of stable perturbations

Mathematics Subject Classification ID

Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (11)

COUNTING SINGULARITIES VIA FITTING IDEALS ⋮ Whitney's umbrellas in stable perturbations of a map germ \((\mathbb R^n,0)\to (\mathbb R^{2n-1},0)\) ⋮ The link of a finitely determined map germ from \(R^{2}\) to \(R^{2}\) ⋮ The Gauss-Bonnet theorem for coherent tangent bundles over surfaces with boundary and its applications ⋮ Whitney theorem for complex polynomial mappings ⋮ On the topology of stable maps ⋮ On surfaces and their contours ⋮ Cobordism of Morse functions on surfaces, the universal complex of singular fibers and their application to map germs ⋮ On polynomial mappings from the plane to the plane ⋮ On bifurcations of cusps ⋮ Visually Evaluating the Topological Equivalence of Bounded Bivariate Fields

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