# Discrete order

From Encyclopedia of Mathematics

*on a set $X$*

The partial order on $X$ defined by $x \le y$ if and only if $x=y$.

This is also called the *antichain order*.

**How to Cite This Entry:**

Discrete order.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Discrete_order&oldid=52623