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Antitone mapping

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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