OAI/Analysis/RieszRectifiability/Restart/ActiveProjectionDiskCoverage.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

Disk coverage by active projections

Affine projection preserves tangential coordinates in the reference plane. The tangential part of the active projection is therefore a small Lipschitz perturbation of the identity on a disk. Its displacement bound gives coverage of a shrunken disk, and the quantitative smallness condition yields coverage of the concentric half disk at the lattice scale.

  1. theorem OAI.RieszRectifiability.nonemptyAffineProjection_tangential line 23
  2. theorem OAI.RieszRectifiability.activeLevelProjectionMap_covers_shrunk_disk line 34
  3. theorem OAI.RieszRectifiability.activeLevelProjectionMap_covers_half_disk line 112