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# antichain

A subset $A$ of a poset $(P,<_{P})$ is an *antichain* if no two elements are comparable. That is, if $a,b\in A$ then $a\nless_{P}b$ and $b\nless_{P}a$.

A *maximal antichain* of $T$ is one which is maximal.

Defines:

antichain, maximal antichain

Related:

TreeSetTheoretic, Aronszajn

Type of Math Object:

Definition

Major Section:

Reference

## Mathematics Subject Classification

05C05*no label found*03E05

*no label found*

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Apr 20

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Apr 19

new collection: On the Information-Theoretic Structure of Distributed Measurements by rspuzio

Apr 15

new question: Prove a formula is part of the Gentzen System by LadyAnne

Mar 30

new question: A problem about Euler's totient function by mbhatia

new problem: Problem: Show that phi(a^n-1), (where phi is the Euler totient function), is divisible by n for any natural number n and any natural number a >1. by mbhatia