OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanSelectedProfilePaths.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Actual controlled paths from the selected affine profiles
- theorem
OAI.PolycyclicRecognition.CartanWordModel.exists_selected_profile_pathsline 29Source documentation
One compact set of Cartan coordinates suffices for all the selected finite chains. Good affine profiles on that set produce actual paths with linear length, logarithmic jumps, and the prescribed convex height image.
theorem exists_selected_profile_paths (hExp : IsGroupExponential Exp) (realize : ExponentialLinearRealizationInput (EG := EG) (G := G)) …Mentions: OAI.PolycyclicRecognition.ExponentialLinearRealizationInput