Remarks on the Topology of Folds

DOI10.2307/2160817zbMath0828.57025OpenAlexW4234467062MaRDI QIDQ4327672

Shigeki Kikuchi, Osamu Saeki

Publication date: 10 April 1995

Full work available at URL: https://doi.org/10.2307/2160817

zbMATH Keywords

Euler numberHopf invariantstably parallelizablefold singularitiesmap into a Euclidean spacenull-cobordant

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) (mathrm{O})- and (mathrm{SO})-cobordism (57R75) Singularities of differentiable mappings in differential topology (57R45) Immersions in differential topology (57R42) Algebraic topology on manifolds and differential topology (57R19)

Related Items

Elimination of singularities of smooth mappings of 4-manifolds into 3-manifolds ⋮ The chess conjecture ⋮ Fold maps, framed immersions and smooth structures ⋮ Self-intersection class for singularities and its application to fold maps

Cites Work

• Notes on the topology of folds
• Simplifying certain mappings from simply connected 4-manifolds into the plane
• Immersions up to cobordism
• A note on immersions up to cobordism
• On the topology of simple fold maps
• Topology of special generic maps of manifolds into Euclidean spaces
• The singularities of a smooth \(n\)-manifold in \((2n-1)\)-space
• Characteristic Classes. (AM-76)
• ON SINGULARITIES OF FOLDING TYPE
• Unnamed Item