Topology / CONCEPT
Finite-orbit chain extended metrics
Finite actual equivalence classes of closed partial isometries give a chain extended metric with the original quotient topology.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES6
PROOF DEPTH0
DOCUMENT LINKS0
Short-chain capture and exact local balls
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
- Cuts and midpoints in original chain quotientstruth-dependency · Closed
- Cyclic hyperbolic sector supporttruth-dependency · Closed
- Infinite cost and self-gluing shortcutstruth-dependency · Closed
- Local developments across original gluing facestruth-dependency · Closed
- Local source sheets of an original chain quotienttruth-dependency · Closed
- Original chains in cyclic hyperbolic sectorstruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Cuts and midpoints in original chain quotientsstructural-affinity · Closed
- Cyclic hyperbolic sector supportstructural-affinity · Closed
- Finite support regions in an actual hyperbolic planestructural-affinity · Closed
- Infinite cost and self-gluing shortcutsstructural-affinity · Closed
- Local developments across original gluing facesstructural-affinity · Closed
- Local source sheets of an original chain quotientstructural-affinity · Closed
- Original chains in cyclic hyperbolic sectorsstructural-affinity · Closed
- Unit tangent rays in the original hyperbolic metricstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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