Source authenticated

Simon's Extendable Shellability Conjecture

Simon conjectured that every skeleton of a simplex is extendably shellable. False: for every $d \ge 3$ there is a pure $d$-dimensional shellable simplicial complex that is not shelling completable.

Exact FrontierDelta

Prior state unknown→disproved

Scope and record

Occurred: May 23, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: site-confirmed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.

Canonical aliases: Simon's Extendable Shellability Conjecture · Simon's conjecture

Confidence: Not scored

Registry verification: site confirmed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Davide Bolognini
human · human collaborator

Paolo Sentinelli
human · human collaborator

ChatGPT 5.5
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Paolo Sentinelli

This event attributed to Davide Bolognini

This event attributed to ChatGPT 5.5

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