trureturingGitHub MATHEMATICAL ATLAS

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Quantitative uncrossing and native admissible occupancy fibers

Actual finite Boolean row multisets admit bounded meet-join sorting to a unique explicit threshold multiset. Reversing and concatenating normalization routes connects each margin fiber. Alternating complement and its inverse transport complete paths to the native admissible-word occupancy fibers. The qualitative straightening and its potential are classical. Straightening is attributed to Hibi (1987); the fence poset context is attributed to Stanley, Two Poset Polytopes (1986).

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Each residual exchange preserves coordinate counts

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The Fibonacci Count of Zeckendorf-Admissible WordsThe Fibonacci Count ofZeckendorf-Admissible WordsQuantitative uncrossing and native admissible occupancy fibersQuantitative uncrossing andnative admissible occupancyfibers
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