Constructing generic smooth maps of a manifold into a surface with prescribed singular loci

DOI10.5802/aif.1489zbMath0833.57018OpenAlexW2320400472MaRDI QIDQ1903311

Osamu Saeki

Publication date: 28 November 1995

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1995__45_4_1135_0

zbMATH Keywords

singular setgeneric mapabsolute index

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 (4)

Simplifying indefinite fibrations on 4-manifolds ⋮ Knots and links of complex tangents ⋮ Unlinking singular loci from regular fibers and its application to submersions ⋮ ELIMINATION OF DEFINITE FOLD. II

Cites Work

• Unnamed Item
• On special generic maps from a closed manifold into the plane
• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Les singularités des applications différentiables
• Sur certaines applications génériques d'une variété close à 3 dimensions dans le plan
• Topology of special generic maps of manifolds into Euclidean spaces
• Simple stable maps of 3-manifolds into surfaces
• The singularities \(S_ 1^ q\)
• Elimination of cusps
• Stable Maps of 3-Manifolds Into the Plane and their Quotient Spaces
• SURGERY OF SINGULARITIES OF SMOOTH MAPPINGS
• ON SINGULARITIES OF FOLDING TYPE

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