Geometry / CONCEPT
JoinModels
Native sphere-pair joins and common-vertex distribution assemble bouquet joins and nonempty component joins. Dimension-fiber bijections preserve each sphere occurrence and its multiplicity.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH8
DOCUMENT LINKS0
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- BasedJoinstructural-affinity · Closed
- Compact finite-factor reductionstructural-affinity · Closed
- Compact sphere source normal formstructural-affinity · Closed
- ConeSplitsstructural-affinity · Closed
- Finite component join closurestructural-affinity · Closed
- Hereditary lexicographic productstructural-affinity · Closed
- Modelsstructural-affinity · Closed
- Pointed sphere wedge normalizationstructural-affinity · Closed
- SelectedWedgestructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance