Projections of surfaces with a connected fold curve

DOI10.1016/0166-8641(93)90129-2zbMath0767.57020OpenAlexW1969441330MaRDI QIDQ1803757

Roberto Pignoni

Publication date: 29 June 1993

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(93)90129-2

zbMATH Keywords

surfaceEuler-Poincaré characteristiccuspsapparent contourfold curvegeneric smooth 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)

Related Items (8)

The minimal number of singularities of stable maps between surfaces ⋮ Separation of hypersurfaces ⋮ Apparent contours of stable maps of surfaces with boundary into the plane ⋮ On surfaces and their contours ⋮ Invariants of stable maps from the 3-sphere to the Euclidean 3-space ⋮ Unnamed Item ⋮ Topology of stable maps of surfaces with boundary into the plane ⋮ Local, smooth, and consistent Jacobi set simplification

Cites Work

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• Global inequalities for curves and surfaces in three-space
• Generic smooth maps of surfaces
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• Les singularités des applications différentiables
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• On surfaces and their contours
• Equivalence of stable mappings between two-dimensional manifolds
• Immersions with minimal absolute total curvature
• A Plucker Equation for Curves in Real Projective Space
• A Topological Picturebook
• Plucker Equations for Curves
• Extending Closed Plane Curves to Immersions of the Disk with n Handles
• Stable maps: An introduction with low dimensional examples
• Mappings of Manifolds into the Plane

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