Smooth Functor: Differential Topology, Functor, Real Number, Vector Space, Infinitely Differentiable, Bundle

Rank (Differential Topology): Differentiable Map, Manifold, Linear Tangent Space, Vector Space

Double Tangent Bundle: Mathematics, Differential topology, bundle, Differentiable manifold, Connection (vector bundle),...

Inverse Image Functor: Mathematics, Contravariant, Direct Functor