Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 073-01. The Falconer distance conjecture in all dimensions
Manuscript map · lines 3925–3934
OpenAI@2026-10-07#rem:oai-p-073-01
Authors: OpenAI. Family 073.
Title: The Falconer distance conjecture in all dimensions.
Abstract: We resolve the Falconer distance conjecture in every dimension. For every integer d ≥ 2, a compact subset of ℝd with Hausdorff dimension greater than $d/2$ determines a set of Euclidean distances of positive Lebesgue measure.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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