MathDBThe finite D3-minus-C conjecture for short intervals
The finite D3-minus-C conjecture for short intervals
A finite poset is D3-minus-C if it satisfies the D3-minus-C axiom, and it has Short intervals are Small when that property holds. Finite D3-minus-C conjecture. If a finite poset is D3-minus-C, then it has Short intervals are Small and is vertically transitive. This is presented as the conjectured converse of Part (d) of the preceding theorem; the source does not provide a resolution.
Sources & referencesView supporting material
Primary source
Robert A. Proctor and Lindsey M. Scoppetta, “d-Complete posets: local structural axioms, properties, and equivalent definitions”, arXiv:1704.05792 (2018).
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