Entropy / CONCEPT
Information Loss under a Finite Free Group Quotient
A finite free group quotient loses exactly the conditional information in its residual coordinate.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS1
Finite free group quotient information loss
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 Same-Task Cut Boundsstructural-affinity · Closed
- Binary Character Uniform Information Exactnessstructural-affinity · Closed
- Concept Entropy under Refinementstructural-affinity · Closed
- Deterministic Entropy Stepstructural-affinity · Closed
- Deterministic Output Entropy Ratestructural-affinity · Closed
- Dual Repair Entropy Decompositionstructural-affinity · Closed
- Equality and Strict Loss under Deterministic Forgettingstructural-affinity · Closed
- Equality Cases for Finite Shannon Entropystructural-affinity · Closed
- Information Cost of Concept Completionstructural-affinity · Closed
- Perfect Observational Correlation from a Shared Sourcestructural-affinity · Closed
- Prediction Stability from Zero Conditional Entropystructural-affinity · Closed
- Quotient-Fiber Entropy Decompositionstructural-affinity · Closed
- Shared Source Observation Dependencestructural-affinity · Closed
- Shared-Source Local Interventionstructural-affinity · Closed
- The Actual Boolean Obstruction and Original Upper Contractstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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