Topology / CONCEPT
Open orthogonality-free sphere covers
Relatively open orthogonality-free covers of the real two-sphere need at least six sets.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH13
DOCUMENT LINKS0
Components are acute
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
- Actual sphere homology in every degreestructural-affinity · Closed
- Open saturated subwedges and singular homologystructural-affinity · Closed
- Positive singular homology from open coversstructural-affinity · Closed
- Singular homology of compact sphere-wedge sourcesstructural-affinity · Closed
- The Euclidean sphere cannot be contractedstructural-affinity · Closed
- Topology: Contractiblestructural-affinity · Closed
- Topology: Reducedstructural-affinity · Closed
- Topology: Spherestructural-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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