OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanStationaryPacking.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Stationary good paths to actual rescaled endpoints
Independent normalized coordinate volume and continuous endpoint coding instantiate the stationary sampling theorem. A single normalized pair is therefore good on an exponentially large ambient separated endpoint set.
- theorem
OAI.PolycyclicRecognition.CartanWordModel.exists_stationary_segment_separated_setline 37Source documentation
Actual separated endpoints with controlled image paths and the exact exponential lower rate.
theorem exists_stationary_segment_separated_set (hExp : IsGroupExponential Exp) (realize : ExponentialLinearRealizationInput (EG := EG) (G := G)) …Mentions: OAI.PolycyclicRecognition.ExponentialLinearRealizationInput