definition 13.50 Diffeomorphism

open in the book · parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:2567 · p. 483

ground object -- no derivation owed

Rests on

depends_on definition 13.49 Smooth map between manifolds ¶
- depends_on definition 13.44 Atlas ¶
  - depends_on definition 13.43 Coordinate system ¶
- depends_on definition 13.45 Differentiable map on a topological space ¶
  - depends_on definition 13.44 Atlas ¶ ↺
  - depends_on definition 13.43 Coordinate system ¶ ↺
- depends_on definition 13.48 Differentiable manifold ¶
  - depends_on definition 13.47 Differentiable structure ¶
    - depends_on definition 13.44 Atlas ¶ ↺
depends_on definition 6.7 Homeomorphism ¶
- depends_on definition 3.47 Bijective map ¶
- depends_on definition 3.51 Inverse map ¶
  - depends_on definition 3.47 Bijective map ¶ ↺
  - depends_on definition 3.49 Composition map ¶
  - depends_on definition 3.50 Identity map ¶
- depends_on definition 6.6 Continuous map ¶
  - depends_on definition 3.53 Preimage ¶
  - depends_on definition 6.2 Open set ¶
    - depends_on definition 6.1 Topological space ¶
      - depends_on definition 3.31 Empty set ¶
      - depends_on definition 3.35 Union, intersection, difference ¶
      - depends_on definition 3.30 Subset ¶
      - depends_on equation 3.51 eq:set-indexed ¶
  - depends_on definition 6.1 Topological space ¶ ↺

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type	direction	node	provenance	where
`depends_on`	→	Smooth map between manifolds	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:2571
`depends_on`	→	Homeomorphism	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:2571