Topology / CONCEPT
The ordered free complex of a set cover
The actual ordered free complex of an arbitrary set cover contracts onto the free object on its points.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH1
DOCUMENT LINKS0
A homotopy inverse for the same augmentation
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
- Detecting an integral homology class of order twostructural-affinity · Closed
- Finite coordinates for an integer coproductstructural-affinity · Closed
- Finite-degree bicomplex comparisonstructural-affinity · Closed
- First-quadrant row-to-total comparisonstructural-affinity · Closed
- Ordered and singular integer H1 of a finite coordinate complexstructural-affinity · Closed
- Positive coordinate stars of a finite complexstructural-affinity · Closed
- The ordered Cech-singular double complexstructural-affinity · Closed
- Topology: Affine Chainstructural-affinity · Closed
- Topology: Alternating Sumstructural-affinity · Closed
- Topology: Equivstructural-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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