57Rxx Differential topology,
{For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, See 58Bxx}
- 57R05 Triangulating
- 57R10 Smoothing
- 57R12 Smooth approximations
- 57R15 Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)
- 57R19 Algebraic topology on manifolds
- 57R20 Characteristic classes and numbers
- 57R22 Topology of vector bundles and fiber bundles, See Also {
55Rxx}
- 57R25 Vector fields, frame fields
- 57R27 Controllability of vector fields on $C^\infty$ and real-analytic manifolds, See also {49Qxx, 58F40, 93B05}
- 57R30 Foliations; geometric theory
- 57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology, See also {58H10}
- 57R35 Differentiable mappings
- 57R40 Embeddings
- 57R42 Immersions
- 57R45 Singularities of differentiable mappings
- 57R50 Diffeomorphisms
- 57R52 Isotopy
- 57R55 Differentiable structures
- 57R57 Applications of global analysis to structures on manifolds, See also {58-XX}
- 57R60 Homotopy spheres, Poincare conjecture
- 57R65 Surgery and handlebodies
- 57R67 Surgery obstructions, Wall groups, See also {19J25}
- 57R70 Critical points and critical submanifolds
- 57R75 O- and SO-cobordism
- 57R77 Complex cobordism (U- and SU-cobordism), See also {55N22}
- 57R80 $h$- and $s$-cobordism
- 57R85 Equivariant cobordism
- 57R90 Other types of cobordism See{55N22}
- 57R91 Equivariant algebraic topology of manifolds
- 57R95 Realizing cycles by submanifolds
- 57R99 None of the above but in this section
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