Topology / CONCEPT
The Euclidean sphere cannot be contracted
The Euclidean sphere cannot be contracted.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH12
DOCUMENT LINKS0
Noncontractibility from reduced singular homology
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
- Open orthogonality-free sphere coversstructural-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
- 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
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