On the number of branches of an 1-dimensional semianalytic set

DOI10.2996/kmj/1138038822zbMath0652.58011OpenAlexW2094492650MaRDI QIDQ1107179

Zbigniew Szafraniec

Publication date: 1988

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

Full work available at URL: https://doi.org/10.2996/kmj/1138038822

zbMATH Keywords

topological degreesnumber of branchesreal analytic map

Mathematics Subject Classification ID

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

Related Items (13)

A formula for the number of branches for one-dimensional semianalytic sets ⋮ A certified numerical algorithm for the topology of resultant and discriminant curves ⋮ 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 ⋮ Fundamental class of real algebraic sets ⋮ On the number of bifurcation branches of \(C^ 2\)-maps ⋮ On affine complete intersections with isolated singularities. ⋮ On the number of singular points of a real projective hypersurface ⋮ Topology and arrangement computation of semi-algebraic planar curves ⋮ A note on the Poincaré-Bendixson index theorem ⋮ On bifurcations of cusps ⋮ An algebraic formula for the Euler characteristic of some semi-algebraic sets

Cites Work

• Unnamed Item
• An algebraic formula for the topological types of one parameter bifurcation diagrams
• On the number of branches of a plane curve germ

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