OAI/Analysis/RieszRectifiability/Restart/ActiveProjectionDiskCoverage.lean
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.
- theorem
OAI.RieszRectifiability.nonemptyAffineProjection_tangentialline 23 - theorem
OAI.RieszRectifiability.activeLevelProjectionMap_covers_shrunk_diskline 34 - theorem
OAI.RieszRectifiability.activeLevelProjectionMap_covers_half_diskline 112