# Difference between revisions of "Antitone mapping"

From Encyclopedia of Mathematics

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''of partially ordered sets'' | ''of partially ordered sets'' | ||

− | A mapping | + | 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]]. |

## Latest revision as of 02:57, 9 January 2017

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://encyclopediaofmath.org/index.php?title=Antitone_mapping&oldid=12056

This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article