Search and Browse the MSC 2000

57-XX Manifolds and cell complexes {For complex manifolds, see 32Qxx} → ZMATH

57Rxx Differential topology {For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx} → ZMATH

57R05 Triangulating → ZMATH

57R10 Smoothing → ZMATH

57R12 Smooth approximations → ZMATH

57R15 Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) → ZMATH

57R17 Symplectic and contact topology → ZMATH

57R19 Algebraic topology on manifolds → ZMATH

57R20 Characteristic classes and numbers → ZMATH

57R22 Topology of vector bundles and fiber bundles [See also 55Rxx] → ZMATH

57R25 Vector fields, frame fields → ZMATH

57R27 Controllability of vector fields on $C^\infty$ and real-analytic manifolds [See also 49Qxx, 37C10, 93B05] → ZMATH

57R30 Foliations; geometric theory → ZMATH

57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology [See also 58H10] → ZMATH

57R35 Differentiable mappings → ZMATH

57R40 Embeddings → ZMATH

57R42 Immersions → ZMATH

57R45 Singularities of differentiable mappings → ZMATH

57R50 Diffeomorphisms → ZMATH

57R52 Isotopy → ZMATH

57R55 Differentiable structures → ZMATH

57R56 Topological quantum field theories → ZMATH

57R57 Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants [See also 58-XX] → ZMATH

57R58 Floer homology → ZMATH

57R60 Homotopy spheres, Poincaré conjecture → ZMATH

57R65 Surgery and handlebodies → ZMATH

57R67 Surgery obstructions, Wall groups [See also 19J25] → ZMATH

57R70 Critical points and critical submanifolds → ZMATH

57R75 O- and SO-cobordism → ZMATH

57R77 Complex cobordism (U- and SU-cobordism) [See also 55N22] → ZMATH

57R80 $h$- and $s$-cobordism → ZMATH

57R85 Equivariant cobordism → ZMATH

57R90 Other types of cobordism [See also 55N22] → ZMATH

57R91 Equivariant algebraic topology of manifolds → ZMATH

57R95 Realizing cycles by submanifolds → ZMATH

57R99 None of the above, but in this section → ZMATH