Generic smooth maps of surfaces

DOI10.1016/0166-8641(84)90010-5zbMath0554.57018OpenAlexW1971835511MaRDI QIDQ760058

Kenneth C. Millett

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0166-8641(84)90010-5

zbMATH Keywords

elimination of cusps of a smooth mappinggeneric smooth mapimmersion of the projective planesurfaces immersed in 3-space

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Immersions in differential topology (57R42)

Related Items (7)

Canceling branch points and cusps on projections of knotted surfaces in 4-space ⋮ Factorizations of Generic Mappings between Surfaces ⋮ An explicit formula for a Bennequin-type invariant of apparent contours ⋮ Projections of surfaces with a connected fold curve ⋮ Unnamed Item ⋮ Local, smooth, and consistent Jacobi set simplification ⋮ Fold cobordisms and a Poincaré-Hopf-type theorem for the signature

Cites Work

• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Les singularités des applications différentiables
• Quelques remarques sur les applications différentiables d'une surface dans le plan
• Elimination of cusps
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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