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.)
- 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 [See also 55Rxx]
- 57R25 Vector fields, frame fields
- 57R27 Controllability of vector fields on C1 and real-analytic manifolds [See also 49Qxx, 37C10, 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
(1)
- 57R52 Isotopy
- 57R55 Differentiable structures
- 57R56 Topological quantum field theories
- 57R57 Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants [See also 58-XX]
- 57R58 Floer homology
- 57R60 Homotopy spheres, Poincaré 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 also 55N22]
- 57R91 Equivariant algebraic topology of manifolds
- 57R95 Realizing cycles by submanifolds
- 57R99 None of the above, but in this section