On the number of branches of a plane curve germ

DOI10.2996/kmj/1138037200zbMath0611.58010OpenAlexW2049854640MaRDI QIDQ1087195

Takuo Fukuda, Wei-Zhi Sun, Kenji Aoki

Publication date: 1986

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138037200

zbMATH Keywords

critical pointbranchdegree of mappingfunctional germ

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 (12)

A formula for the number of branches for one-dimensional semianalytic sets ⋮ On the number of branches of an 1-dimensional semianalytic set ⋮ An algebraic formula for the topological types of one parameter bifurcation diagrams ⋮ An upper bound of the index of an equilibrium point in the plane ⋮ Radial index and Poincaré–Hopf index of 1-forms on semi-analytic sets ⋮ On the number of branches of bifurcation points ⋮ Degree formulas for a topological invariant of bifurcations of function-germs ⋮ On the number of bifurcation branches of \(C^ 2\)-maps ⋮ On affine complete intersections with isolated singularities. ⋮ Topology and arrangement computation of semi-algebraic planar curves ⋮ On bifurcations of cusps ⋮ Stratified critical points on the real Milnor fibre and integral-geometric formulas

Cites Work

• Topological invariance of the Milnor number mod 2
• An algebraic formula for the degree of a \(C^\infty\) map germ. Sur une inegalite a la Minkowski pour les multiplicites
• Unnamed Item

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