Simplifying stable mappings into the plane from a global viewpoint

DOI10.1090/S0002-9947-96-01576-0zbMath0858.57037OpenAlexW1495785737MaRDI QIDQ4890021

Mahito Kobayashi, Osamu Saeki

Publication date: 25 March 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01576-0

zbMATH Keywords

manifoldstable mapsurgerydiffeomorphism typeplanecritical value set

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Singularities of differentiable mappings in differential topology (57R45) Differentiable mappings in differential topology (57R35)

Related Items (2)

Cobordism group of Morse functions on surfaces with boundary ⋮ Constructions of round fold maps on smooth bundles

Cites Work

• Simply-connected algebraic surfaces of positive index
• Polynomial invariants for smooth four-manifolds
• On special generic maps from a closed manifold into the plane
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• A proof of the Smale conjecture, \(Diff(S^ 3)\simeq O(4)\)
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• Tangled manifolds
• Orientation-reversing homeomorphisms in surface geography
• Simplifying certain mappings from simply connected 4-manifolds into the plane
• Sur certaines applications génériques d'une variété close à 3 dimensions dans le plan
• Topology of special generic maps of manifolds into Euclidean spaces
• Elimination of cusps
• Sur les difféomorphismes de la sphère de dimension trois \(\Gamma_ 4 = 0\)
• La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
• Groups of homotopy spheres. I
• Polyhedrons and pi-stable homotopies from 3-manifolds into the plane
• Existence of simply connected algebraic surfaces of general type with positive and zero indices
• Stable Maps of 3-Manifolds Into the Plane and their Quotient Spaces
• Diffeomorphisms of the 2-Sphere
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