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Wolff's axioms in their polynomial form: the family of dimension conditions on a collection of delta-tubes (with delta-separated directions and controlled overlaps) used in polynomial-partitioning approaches to the Kakeya problem. Claims that a given configuration of tubes satisfies or fails these axioms, in any dimension, belong here; the convex-set variant goes under Convex Wolff axioms.

Every set of delta-tubes pointing in delta-separated directions satisfies the polynomial Wolff axioms in every dimension.

UnassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitution →empirical · derivedA factual claim that rests on inference from other evidence rather than direct observation.constitution →Harmonic analysis Kakeya conjecture Convex Wolff axiomsimportance · settledImportance 0.15, from 0 to 1 · settled: uncontested, so low even when much depends on it. Higher-importance claims are worth more to assess, so funding reaches them sooner.constitution →

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