proposition 13.46 Compatibility of atlases

open in the book · parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:2441 · p. 482

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proposition 13.46: Compatibility of atlases13.46definition 13.44: Atlas13.44definition 13.43: Coordinate system13.43proof : ch:11-manifolds-tensors-curvature@proof-8proofdefinition A.299: Manifold with boundaryA.299definition A.302: OrientationA.302definition 13.45: Differentiable map on a topological space13.45definition 13.47: Differentiable structure13.47definition 13.49: Smooth map between manifolds13.49proposition 13.56: Product manifold13.56

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typedirectionnode provenancewhere
depends_on Atlas declared parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:2451
depends_on Coordinate system declared parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:2451
proves ch:11-manifolds-tensors-curvature@proof-8 declared parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:2454