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Kneser's Theorem (Combinatorics)

Combinatorics and Graph Theory

Kneser's theorem, in additive combinatorics, refers to a group of related results about the size of sumsets in abelian groups, published by Martin Kneser in 1953 and 1956. The theorems extend the Cauchy-Davenport theorem, which bounds sumset sizes only for groups of prime order, to general abelian groups, with several statements addressing when a sumset stays strictly smaller than the sum of the sizes of its two component sets, and a further statement addressing when equality holds for Haar measure in connected compact abelian groups. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Statement Form
Inequality 1
Connections

Has Statement Form

Inequality, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Sources
1. Kneser's theorem (combinatorics) (Wikipedia)
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