Difference between revisions of "Antitone mapping"
From Encyclopedia of Mathematics
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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]]. | 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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Revision as of 21:50, 28 November 2014
2020 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 $a\leq b$ ($a,b\in A$), 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=35067
Antitone mapping. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Antitone_mapping&oldid=35067
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article