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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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new question: Lorenz system by David Bankom

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new correction: examples and OEIS sequences by fizzie

Oct 13

new correction: Define Galois correspondence by porton

Oct 7

new correction: Closure properties on languages: DCFL not closed under reversal by babou

new correction: DCFLs are not closed under reversal by petey

Oct 2

new correction: Many corrections by Smarandache

Sep 28

new question: how to contest an entry? by zorba

new question: simple question by parag

Sep 26

new question: Latent variable by adam_reith