OAI/NumberTheory/DukePrimeDegree/Geometry/LocalInjectivityHeight.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

A measurable chart height with bounded diagonal increments

Local quotient injectivity is encoded on a geometric sequence of radii. The least admissible index is measurable and changes by at most one under a fixed diagonal translation. This supplies chart-size control without an integrability assumption on the height itself.

  1. def OAI.DukePrimeDegree.LocalInjectivityAt line 19
  2. lemma OAI.DukePrimeDegree.LocalInjectivityAt.mono line 23
  3. lemma OAI.DukePrimeDegree.isOpen_localInjectivityAt line 28
  4. lemma OAI.DukePrimeDegree.localInjectivityAt_translate line 35
  5. theorem OAI.DukePrimeDegree.exists_local_injectivity_height line 50