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< 57Qxx | 57-XX | 57Sxx >
57-XX Manifolds and cell complexes {For complex manifolds, see 32Qxx}
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 $C^\infty$ 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
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, PoincarĂ© conjecture
57R65   Surgery and handlebodies
57R67   Surgery obstructions, Wall groups [See also 19J25]
57R70   Critical points and critical submanifolds
57R75   ${\rm O}$- and ${\rm SO}$-cobordism
57R77   Complex cobordism (${\rm U}$- and ${\rm SU}$-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
< 57Qxx | 57-XX | 57Sxx >
American Mathematical Society