OAI/GroupTheory/PolycyclicRecognition/Analysis/MetricFolnerVolume.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

The volume estimates in metric Følner transfer

A finite union of fixed-radius target balls has mass bounded below by its source cardinality, using a separated net and bounded coarse multiplicity. Its metric boundary is covered by balls indexed by the source boundary.

  1. def OAI.PolycyclicRecognition.metricFolnerSet line 22
  2. theorem OAI.PolycyclicRecognition.metricFolnerSet_measurable line 26
  3. theorem OAI.PolycyclicRecognition.metricFolnerSet_volume_lower line 31
  4. theorem OAI.PolycyclicRecognition.metricFolnerSet_boundary_subset line 59
  5. theorem OAI.PolycyclicRecognition.metricFolnerSet_boundary_volume line 96