Geometry / CONCEPT
Hyperbolic upper half-space metric
The Ptolemy proof of the upper half-space metric and horizontal isometries.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES3
PROOF DEPTH0
DOCUMENT LINKS1
Triangle inequality
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
RELATED KNOWLEDGE
Structural connections
- Hyperbolic completenessstructural-affinity · Closed
- Hyperbolic dilationsstructural-affinity · Closed
- Hyperbolic Hausdorff comparisonstructural-affinity · Closed
- Hyperbolic inversionstructural-affinity · Closed
- Hyperbolic topologystructural-affinity · Closed
- One shared body from the actual length Gram matrixstructural-affinity · Closed
- The finite vertices of the same common bodystructural-affinity · Closed
- The original coefficient segment and every ambient between-pointstructural-affinity · Closed
- The shared mixed-coordinate comparisonstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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