Nathanson's Problems on Product Intersection Sets
Nathanson asked which subsets of $\mathbb{N}$ can occur as product intersection sets of a family of semigroup subsets, for arbitrary and for decreasing families (his Problems 10 and 11). Both are solved by complete classifications.
Exact FrontierDelta
Scope and record
Occurred: Apr 20, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: lean-checked. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.
Canonical aliases: Nathanson's Problems on Product Intersection Sets · Product intersection sets
Confidence: Not scored
Registry verification: lean checked · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Wouter van Doorn
human · human collaborator
Pietro Monticone
human · human collaborator
Quanyu Tang
human · human collaborator
Harmonic Aristotle
model · ai model contributor · Harmonic
Lineage and corrections
This event attributed to Quanyu Tang
This event attributed to Pietro Monticone
This event attributed to Wouter van Doorn
This event attributed to Harmonic Aristotle