Sabok's S-Prime Simplex Questions
Sabok asked whether the compact convex set $S'(X)$ attached to a separable metric space of diameter at most one is always a simplex, and whether $S'(\mathbb{U}_1)$ is the Poulsen simplex. Both answers are negative, with obstructions already visible for finite $X$ and for the Urysohn space.
Exact FrontierDelta
Scope and record
Occurred: Jun 18, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-assisted. Imported under CC BY 4.0.
Canonical aliases: Sabok's S-Prime Simplex Questions · Sabok's simplex questions
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Yutong Zhang
human · human collaborator
Yaoran Yang
human · human collaborator
GPT-based models
model · ai model contributor · OpenAI
Lineage and corrections
This event attributed to Yaoran Yang
This event attributed to Yutong Zhang
This event attributed to GPT-based models