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Existence and construction of infinite towers of number fields with bounded root discriminant (class field towers, Golod–Shafarevich methods, p-extensions), including conditions such as a fixed rational prime splitting completely in the tower. Excludes finite-field or function-field tower claims and general discriminant bounds for single fields.

There exist infinite towers of number fields of bounded root discriminant in which a fixed rational prime splits completely.

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 →Number theoryimportance · settledImportance 0.12, 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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