OAI/GroupTheory/PolycyclicRecognition/Algebra/ExhaustionOrientationDetection.lean
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Detecting the orientation by nonzero top homology
A nonzero class survives in every sufficiently large stage of an exhaustion. For rank-one integral coefficients, top duality at those stages identifies the coefficient representation with the compatible orientation.
- theorem
OAI.PolycyclicRecognition.exhaustion_orientation_of_nonzero_topline 21