Browse

Claims

Search the graph by meaning. Each result carries its current verdict; open one to see its decomposition, provenance, and the reasoning behind the assessment.

1 claim

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 →

Contribute

If a claim here is wrong, or missing evidence, open it: every claim page carries its own entry for challenges, evidence, and corrections. If the graph is missing a claim entirely, propose it below. A proposal is reviewed on its merits; accepted claims are matched against the graph and enter it with their reasoning on record.