Sperner family

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English[edit]

Etymology[edit]

Named after Emanuel Sperner.

Noun[edit]

Sperner family (plural Sperner families)

  1. (combinatorics) A family F of subsets of a finite set E in which none of the sets contains another; or, equivalently, an antichain in the inclusion lattice over the power set of E.
    Synonyms: clutter, Sperner system
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