Topology of special generic maps of manifolds into Euclidean spaces

DOI10.1016/0166-8641(93)90116-UzbMath0768.57015MaRDI QIDQ1803754

Osamu Saeki

Publication date: 29 June 1993

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

zbMATH Keywords

fold pointssmooth maps of closed \(n\)-manifolds into \(\mathbb{R}^ p\)special generic maps into \(\mathbb{R}^ 2\)

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

Constructing generic smooth maps of a manifold into a surface with prescribed singular loci ⋮ Bordism groups of special generic mappings ⋮ Standard special generic maps of homotopy spheres into Euclidean spaces ⋮ Round fold maps of n-dimensional manifolds into (n-1)-dimensional Euclidean space ⋮ Graphs of stable maps from 3-manifolds to 3-space ⋮ Simplifying stable mappings into the plane from a global viewpoint ⋮ ELIMINATION OF DEFINITE FOLD. II ⋮ Maps of manifolds into the plane which lift to standard embeddings in codimension two ⋮ Classification of singular fibres of stable maps of 4-manifolds into 3-manifolds and its applications ⋮ Singular fibers of stable maps and signatures of 4-manifolds ⋮ Remarks on the Topology of Folds ⋮ Constructions of round fold maps on smooth bundles

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