Smooth map
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Definition
A map f:M→N between two smooth manifolds (M,A) and (N,B) (of not necessarily the same dimension) is said to be smooth[1] if:
- ∀p∈M∃ (U,φ)∈A, p∈U and (V,ψ)∈Bsuch that F(U)⊆V∧ψ∘F∘φ−1is smooth
References
- Jump up ↑ Introduction to smooth manifolds - John M Lee - Second Edition
