Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 074-02. Every four-dimensional Kakeya set has full Hausdorff dimension
Manuscript map · lines 3945–3954
OpenAI@2026-10-07#rem:oai-p-074-02
Authors: OpenAI. Family 074.
Title: Every four-dimensional Kakeya set has full Hausdorff dimension.
Abstract: We prove the four-dimensional Hausdorff-dimension Kakeya conjecture: every subset of ℝ4 containing a unit line segment in every direction has Hausdorff dimension four. No compactness or regularity assumption is imposed on the set or its witnessing line family.
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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