Conjecture on $k$-Antichains in the Unit Cube
A subset $A$ of the pointwise-ordered cube $[0,1]^n$ is a $k$-antichain when it meets every chain in at most $k$ points. The conjecture concerns the largest possible $(n-1)$-dimensional Hausdorff measure of such a set; it is settled here, following work of Janzer.
Exact FrontierDelta
Scope and record
Occurred: Jun 26, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.
Canonical aliases: Conjecture on $k$-Antichains in the Unit Cube · k-antichains
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
John M. Campbell
human · human collaborator
GPT-5.5 Pro
model · ai model contributor · OpenAI
Lineage and corrections
This event attributed to John M. Campbell
This event attributed to GPT-5.5 Pro