OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanPivotTemplateCoding.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Continuous box selectors independent of the starting sheet
The actual generator word is retained, so its finitely many prefix sheets can be used in the independent-probe concentration argument.
- theorem
OAI.PolycyclicRecognition.CartanWordModel.exists_continuous_pivot_template_codingline 33Source documentation
The selector is chosen before both the starting sheet and the pivot. It has uniformly bounded length and amplitudes, and every evaluation is continuous on the entire closed coordinate ball.
theorem exists_continuous_pivot_template_coding (hExp : IsGroupExponential Exp) (realize : ExponentialLinearRealizationInput (EG := EG) (G := G)) …Mentions: OAI.PolycyclicRecognition.ExponentialLinearRealizationInput