Words / CONCEPT
Natural Valuations Cannot Preserve Every Abelian Complexity Function
A single ternary infinite word has fewer additive classes than original-symbol abelian classes at some positive length for every natural valuation.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
A negative answer to the entire valuation-existence assertion
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
- A Counterexample Inside Vivion's Restricted Classstructural-affinity · Closed
- CutoffCoefficientAlgebrastructural-affinity · Closed
- ExactDeckCorestructural-affinity · Closed
- LyndonFactorizationstructural-affinity · Closed
- OverlapInfiltrationstructural-affinity · Closed
- Polynomial Complexity and Subshift Hausdorff Dimensionstructural-affinity · Closed
- The One-Sided Morse-Hedlund Theoremstructural-affinity · Closed
- Words: Morse Hedlund Conversestructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
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LIBRARY / RELEASE VERSIONS
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