Studying the topology of Morin singularities from a global viewpoint

DOI10.1017/S0305004100073072zbMath0844.57033MaRDI QIDQ4839903

Osamu Saeki

Publication date: 18 July 1995

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

zbMATH Keywords

3-manifoldssmooth mapsingular setsMorin singularitiesregular fibres

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45)

Related Items (8)

Elimination of singularities of smooth mappings of 4-manifolds into 3-manifolds ⋮ An alternative proof of a formula on Euler characteristics of singularity sets of a Morin map \(M \rightarrow \mathbb{R}^n\) based on Morse theory ⋮ Fold maps on small dimensional manifolds with prescribed singular set ⋮ Criteria for Morin singularities for maps into lower dimensions, and applications ⋮ Morin singularities of collections of one-forms and vector fields ⋮ On the topology of stable maps ⋮ Self-intersection class for singularities and its application to fold maps ⋮ Classification of singular fibres of stable maps of 4-manifolds into 3-manifolds and its applications

Cites Work

• On special generic maps of simply connected \(2n\)-manifolds into \(\mathbb{R}^ 3\)
• Les singularités des applications différentiables
• Elimination of cusps
• Stability of \(C^ \infty\) mappings. IV: Classification of stable germs by R-algebras
• Submersions of open manifolds
• Stability of \(C^ \infty\) mappings. V: Transversality
• Generic projections
• Nondegenerate critical manifolds
• Surfaces in R ³
• Characteristic Classes. (AM-76)
• SURGERY OF SINGULARITIES OF SMOOTH MAPPINGS
• ON SINGULARITIES OF FOLDING TYPE
• Unnamed Item

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