Topology / CONCEPT
Cuts and midpoints in original chain quotients
Original finite-cost gluing chains admit prescribed-cost cuts, and compact original chain quotients have exact midpoints at finite distance.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
A cut at any finite cumulative cost
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Cyclic hyperbolic sector supportstructural-affinity · Closed
- Finite-orbit chain extended metricsstructural-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
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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