Linked from

The 17 pages that link to Partition of a set, each with the reason it gives.

• Equivalence relationRelated: The equivalence classes form a partition, and every partition determines an equivalence relation.

• Sigma-algebraRelated: Partitions generate sigma-algebras by collecting unions of their blocks.

• Ramsey theoryRelated: Colorings can be viewed as partitions of configurations into classes.

• Stirling numbers of the second kindNarrower topic: Each object counted by S(n,k) is a set partition with exactly k blocks.

• Combinatorial proofRelated: Splitting counted objects into disjoint cases produces sums of counts.

• Equivalence classRelated: Equivalence classes form exactly such a partition.

• Quotient setRelated: Equivalence classes partition the original set into the quotient's elements.

• Multinomial coefficientRelated: A multinomial coefficient counts partitions into labeled groups of prescribed sizes.

• Bell numberNarrower topic: Bell numbers count these objects across every possible number of blocks.

• Chromatic polynomialRelated: Color classes in a proper coloring partition the vertices into independent sets.

• Law of total expectationRelated: A partition supplies the exhaustive, nonoverlapping cases used to calculate expectation.

• Faà di Bruno's formulaRelated: Partitions describe how derivative operations distribute among inner-function factors.

• Pizza theoremRelated: The four lines partition the disk into eight regions.

• Baranyai's theoremRelated: Every factor groups the vertices into disjoint r-element blocks.

• Borsuk's conjectureRelated: The proposed bound concerns the number of pieces in such a division.

• Lah numberNarrower topic: Lah numbers refine set partitions by ordering the elements within each block.

• Twelvefold wayRelated: Partitions describe assignments to indistinguishable, nonempty boxes.