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58Axx - General theory of differentiable manifolds

58A03 - Topos-theoretic approach to differentiable manifolds
58A05 - Differentiable manifolds, foundations
58A07 - Real-analytic and Nash manifolds
58A10 - Differential forms
58A12 - de Rham theory
58A14 - Hodge theory
58A15 - Exterior differential systems (Cartan theory)
58A17 - Pfaffian systems
58A20 - Jets
58A25 - Currents
58A30 - Vector distributions (subbundles of the tangent bundles)
58A32 - Natural bundles
58A35 - Stratified sets
58A40 - Differential spaces
58A50 - Supermanifolds and graded manifolds
58A99 - Miscellaneous
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