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单词 Antichain
释义

antichain


A subset A of a poset (P,<P) is an antichainMathworldPlanetmath if no two elements are comparable. That is, if a,bA then aPb and bPa.

A maximal antichain of T is one which is maximal.

In particular, if (P,<P) is a tree then the maximal antichains are exactly those antichains which intersect every branch, and if the tree is splitting then every level is a maximal antichain.

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更新时间:2025/5/4 8:28:00