OAI/Topology/CoarseAssembly/RipsFamilyRestriction.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

Exact coordinates of the pushed-forward family

Restriction to a late Rips component recovers precisely the corresponding member of the source family, irrespective of links among other components.

  1. theorem OAI.CoarseAssembly.separatedRipsEmbedding_open line 23
  2. theorem OAI.CoarseAssembly.ripsFamily_component_preimage line 27
  3. theorem OAI.CoarseAssembly.ripsFamily_restriction line 55