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MSC2020 · 57Rxx

Differential topology

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

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Counts include all statuses and descendants. Classifications are editorial or inferred from community fields, not an AMS assessment of the problem.

Subcategories

57R05Triangulating057R10Smoothing in differential topology057R12Smooth approximations in differential topology057R15Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)057R17Symplectic and contact topology in high or arbitrary dimension057R18Topology and geometry of orbifolds057R19Algebraic topology on manifolds and differential topology057R20Characteristic classes and numbers in differential topology057R22Topology of vector bundles and fiber bundles057R25Vector fields, frame fields in differential topology057R27Controllability of vector fields on C∞C^\infty and real-analytic manifolds057R30Foliations in differential topology; geometric theory057R32Classifying spaces for foliations; Gelfand-Fuks cohomology057R35Differentiable mappings in differential topology057R40Embeddings in differential topology057R42Immersions in differential topology057R45Singularities of differentiable mappings in differential topology057R50Differential topological aspects of diffeomorphisms057R52Isotopy in differential topology057R55Differentiable structures in differential topology057R56Topological quantum field theories (aspects of differential topology)057R57Applications of global analysis to structures on manifolds057R58Floer homology057R60Homotopy spheres, Poincaré conjecture057R65Surgery and handlebodies057R67Surgery obstructions, Wall groups057R70Critical points and critical submanifolds in differential topology057R75O\mathrm{O}- and SO\mathrm{SO}-cobordism057R77Complex cobordism (U\mathrm{U}- and SU\mathrm{SU}-cobordism)057R80hh- and ss-cobordism057R85Equivariant cobordism057R90Other types of cobordism457R91Equivariant algebraic topology of manifolds057R95Realizing cycles by submanifolds057R99Differential topology0

Mapped problems

Journals & articles in MSC 57

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MSC2020 © Mathematical Reviews (AMS) and zbMATH · CC BY-NC-SA 4.0 · Official PDF, page 153