# Antitone mapping

From Encyclopedia of Mathematics

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