Mathematics Subject Classification 1991

57Rxx Differential topology, {For foundational questions of differentiable manifolds, See 58Axx; for infinite-dimensional manifolds, See 58Bxx} ( 0 Dok. )

• 57R05 Triangulating ( 0 Dok. )
• 57R10 Smoothing ( 0 Dok. )
• 57R12 Smooth approximations ( 0 Dok. )
• 57R15 Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) ( 0 Dok. )
• 57R19 Algebraic topology on manifolds ( 0 Dok. )
• 57R20 Characteristic classes and numbers ( 0 Dok. )
• 57R22 Topology of vector bundles and fiber bundles, See Also {55Rxx} ( 0 Dok. )
• 57R25 Vector fields, frame fields ( 0 Dok. )
• 57R27 Controllability of vector fields on $C^infty$ and real-analytic manifolds, See also {49Qxx, 58F40, 93B05} ( 0 Dok. )
• 57R30 Foliations; geometric theory ( 0 Dok. )
• 57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology, See also {58H10} ( 0 Dok. )
• 57R35 Differentiable mappings ( 0 Dok. )
• 57R40 Embeddings ( 0 Dok. )
• 57R42 Immersions ( 0 Dok. )
• 57R45 Singularities of differentiable mappings ( 0 Dok. )
• 57R50 Diffeomorphisms ( 0 Dok. )
• 57R52 Isotopy ( 0 Dok. )
• 57R55 Differentiable structures ( 0 Dok. )
• 57R57 Applications of global analysis to structures on manifolds, See also {58-XX} ( 0 Dok. )
• 57R60 Homotopy spheres, Poincare conjecture ( 0 Dok. )
• 57R65 Surgery and handlebodies ( 0 Dok. )
• 57R67 Surgery obstructions, Wall groups, See also {19J25} ( 0 Dok. )
• 57R70 Critical points and critical submanifolds ( 0 Dok. )
• 57R75 O- and SO-cobordism ( 0 Dok. )
• 57R77 Complex cobordism (U- and SU-cobordism), See also {55N22} ( 0 Dok. )
• 57R80 $h$- and $s$-cobordism ( 0 Dok. )
• 57R85 Equivariant cobordism ( 0 Dok. )
• 57R90 Other types of cobordism See{55N22} ( 0 Dok. )
• 57R91 Equivariant algebraic topology of manifolds ( 0 Dok. )
• 57R95 Realizing cycles by submanifolds ( 0 Dok. )
• 57R99 None of the above but in this section ( 0 Dok. )