Antitone mapping

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of partially ordered sets

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

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