# 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 $a\leq b$ ($a,b\in A$), then $a\phi\geq b\phi$. The dual concept to an antitone mapping is an [[Isotone mapping|isotone mapping]]. |

## Revision as of 19:09, 31 July 2014

*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.

**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