Tableaux problem 49
Tableaux problem 49
Inferred from the community field; finer classification has not been reviewed.
Problem statement
49.[Wor2026c] Prove that a locally-finite distributive lattice has a lattice of ideals of prime filters that contains at most three connected components (one isomorphic to the lattice, perhaps one containing the empty ideal, and perhaps one containing the ideal of all primes) iff the lattice has finite width (contains no infinite antichains).
Lean 4
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Background
Source snapshot inspected on 10 September 2026. Subsequent research status and the accuracy of source formalizations have not been independently certified.
Dale R. Worley, version 3 (5 April 2026). Source citation keys are retained even where the arXiv HTML does not resolve its bibliography.
CC BY 4.0; Dale R. Worley. HTML converted to Markdown with attribution and source links.
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Discussion
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