# Antitone mapping

2010 Mathematics Subject Classification: Primary: 06A [MSN][ZBL]

of partially ordered sets

A mapping $\phi$ of a partially ordered set $A$ into a partially ordered set $B$ such that if $a \leq b$ (where $a,b \in A$), then $\phi(a) \geq \phi(b)$. The dual concept to an antitone mapping is an isotone mapping.

How to Cite This Entry:
Antitone mapping. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Antitone_mapping&oldid=40158
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article