Geometry / CONCEPT
Openness of strict dual and cap signs
The strict dual/cap Lorentz sign region is open in hyperbolic three-space.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH8
DOCUMENT LINKS0
The strict dual/cap region is open
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
- Dual and cap sign characterization of the realizing rangestructural-affinity · Closed
- Finite support regions in an actual hyperbolic planestructural-affinity · Closed
- Inverse-Gram Dual Metricstructural-affinity · Closed
- Inverse-Gram Dual Pairingstructural-affinity · Closed
- Nonempty strict dual and cap signsstructural-affinity · Closed
- Spacelike supporting planes in the original hyperbolic metricstructural-affinity · Closed
- The original coefficient segment and every ambient between-pointstructural-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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