Anti-chain
From Encyclopedia of Mathematics
(Redirected from Sperner family)
2020 Mathematics Subject Classification: Primary: 06A06 [MSN][ZBL]
Sperner family
A set $A$ of elements of a partially ordered set $(S,\le)$ which are incomparable: for $x \neq y$ in $A$, neither $x \le y$ nor $y \le x$ holds. The width of a partially ordered set is the largest size of an antichain.
A Sperner family is a collection of sets which form an anti-chain with respect to set inclusion. See also Sperner property.
How to Cite This Entry:
Sperner family. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Sperner_family&oldid=35905
Sperner family. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Sperner_family&oldid=35905