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  • 57-XX Manifolds and cell complexes
  • 57Rxx Differential topology
  • 57R70 Critical points and critical submanifolds

57Rxx Differential topology

  • 57R05 Triangulating
  • 57R10 Smoothing
  • 57R12 Smooth approximations
  • 57R15 Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)
  • 57R17 Symplectic and contact topology
  • 57R18 Topology and geometry of orbifolds
  • 57R19 Algebraic topology on manifolds
  • 57R20 Characteristic classes and numbers
  • 57R22 Topology of vector bundles and fiber bundles
  • 57R25 Vector fields, frame fields
  • 57R27 Controllability of vector fields on C ∞ and real-analytic manifolds
  • 57R30 Foliations; geometric theory
  • 57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology
  • 57R35 Differentiable mappings
  • 57R40 Embeddings
  • 57R42 Immersions
  • 57R45 Singularities of differentiable mappings
  • 57R50 Diffeomorphisms
  • 57R52 Isotopy
  • 57R55 Differentiable structures
  • 57R56 Topological quantum field theories
  • 57R57 Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants
  • 57R58 Floer homology
  • 57R60 Homotopy spheres, Poincaré conjecture
  • 57R65 Surgery and handlebodies
  • 57R67 Surgery obstructions, Wall groups
  • 57R70 Critical points and critical submanifolds
  • 57R75 O - and SO -cobordism
  • 57R77 Complex cobordism ( U - and SU -cobordism)
  • 57R80 h - and s -cobordism
  • 57R85 Equivariant cobordism
  • 57R90 Other types of cobordism
  • 57R91 Equivariant algebraic topology of manifolds
  • 57R95 Realizing cycles by submanifolds
  • 57R99 None of the above, but in this section
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La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie

Jean Cerf (1970)

Publications Mathématiques de l'IHÉS

Lefschetz theorems for the integral leaves of a holomorphic one-form

Carlos Simpson (1993)

Compositio Mathematica

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