Topology / CONCEPT
Positive singular homology from open covers
Reduced Mayer–Vietoris gives actual positive-degree open-cover splittings.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH10
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
- Actual sphere homology in every degreestructural-affinity · Closed
- Local subgraphs and homology endpointstructural-affinity · Closed
- Open orthogonality-free sphere coversstructural-affinity · Closed
- Open saturated subwedges and singular homologystructural-affinity · Closed
- Singular homology of compact sphere-wedge sourcesstructural-affinity · Closed
- The Euclidean sphere cannot be contractedstructural-affinity · Closed
- The ordered Cech-singular double complexstructural-affinity · Closed
- Topology: Basicstructural-affinity · Closed
- Topology: Contractiblestructural-affinity · Closed
- Topology: Reducedstructural-affinity · Closed
- Topology: Spherestructural-affinity · Closed
- Two-torsion in the actual seed singular homologystructural-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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