OAI/Geometry/HyperbolicGroups/ConeCover.lean
6 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.HyperbolicObstruction.ConeSkeleton.frozenOffsetline 23Source documentation
Cell lift coordinate at a frozen side, measured from its indexed first vertex. Reversing orientation changes the initial point but not the cell lift.
def frozenOffset (s : (frozenBoundary n w d).Side) : G := …
Mentions: OAI.HyperbolicObstruction.ConeSkeleton.frozenBoundary
- lemma
OAI.HyperbolicObstruction.ConeSkeleton.frozenOffset_oppositeline 28 - def
OAI.HyperbolicObstruction.ConeSkeleton.coverOffsetline 39 - lemma
OAI.HyperbolicObstruction.ConeSkeleton.coverOffset_oppositeline 44 - def
OAI.HyperbolicObstruction.ConeSkeleton.actualCellCoverline 55Source documentation
The actual regular covering target, constructed from ordinary group edge values satisfying the ORIGINAL cell equations. No lifted-chain conclusion is assumed. In particular it applies to quotient group values, not only to the bouquet auxiliary group.
def actualCellCover : WalkCellCover (indexingTarget n w d) G where …
Mentions: OAI.HyperbolicObstruction.ConeSkeleton.indexingTarget
- def
OAI.HyperbolicObstruction.ConeSkeleton.polygonGroupCoverline 71Source documentation
Canonical cover data for this presentation, with actual prefix-product coordinates and the proved cone potentials.
def polygonGroupCover : WalkCellCover (indexingTarget n w d) (PolygonGroup n w d) := …
Mentions: OAI.HyperbolicObstruction.ConeSkeleton.indexingTarget, OAI.HyperbolicObstruction.ConeSkeleton.PolygonGroup