HomologicalAlgebra / CONCEPT
Detecting an integral homology class of order two
A mod-two functional detects a nonzero order-two class in integral ModuleCat homology.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS0
A class vanishes exactly when it bounds
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Finite coordinates for an integer coproductstructural-affinity · Closed
- Finite-degree bicomplex comparisonstructural-affinity · Closed
- Ordered and singular integer H1 of a finite coordinate complexstructural-affinity · Closed
- Positive coordinate stars of a finite complexstructural-affinity · Closed
- Single-vertex graph substitutionstructural-affinity · Closed
- The eleven-vertex torsion seed for Question 32structural-affinity · Closed
- The ordered Cech-singular double complexstructural-affinity · Closed
- The ordered free complex of a set coverstructural-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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