A formula for the number of branches for one-dimensional semianalytic sets

DOI10.1017/S0305004100071206zbMath0792.32004MaRDI QIDQ5288347

Zbigniew Szafraniec

Publication date: 28 July 1994

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

number of branchesreal analytic mappings

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Theory of singularities and catastrophe theory (58K99) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Differentiable maps on manifolds (58C25) Real-analytic and Nash manifolds (58A07)

Related Items (2)

On trajectories of analytic gradient vector fields ⋮ On bifurcations of cusps

Cites Work

• On the number of branches for real and complex weighted homogeneous curve singularities
• An algebraic formula for the topological types of one parameter bifurcation diagrams
• Topological invariance of the Milnor number mod 2
• On the number of branches of a plane curve germ
• Relations among analytic functions. I
• On the Euler characteristic of analytic and algebraic sets
• On the number of branches of an 1-dimensional semianalytic set
• \(G\)-signature, \(G\)-degree, and symmetries of the branches of curve singularities
• Index of a singular point of a vector field, the Petrovskii-Oleinik inequality, and mixed Hodge structures
• Théorème de division et stabilité en géométrie analytique locale
• One-forms on singular curves and the topology of real curve singularities
• On the number of singular points of a real projective hypersurface
• Euler Characteristics of Real Varieties

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