OAI/Analysis/RieszRectifiability/Foundations/LocalImageCapture.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Local capture of perturbed images

A displacement bound ensures that points mapping into a given ball originate in a controlled neighborhood. Capturing that neighborhood by a chart identifies the image inside the ball, also after restriction by orthogonal projection.

  1. theorem OAI.RieszRectifiability.image_inter_closedBall_eq_of_bounded_displacement line 20
  2. theorem OAI.RieszRectifiability.image_chart_captures_closedBall line 38