Difference between revisions of "Antitone mapping"
From Encyclopedia of Mathematics
(Category:Order, lattices, ordered algebraic structures) |
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''of partially ordered sets'' | ''of partially ordered sets'' | ||
| − | A mapping $\phi$ of a partially ordered | + | A mapping $\phi$ of a [[partially ordered se]]t $A$ 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]]. |
[[Category:Order, lattices, ordered algebraic structures]] | [[Category:Order, lattices, ordered algebraic structures]] | ||
Revision as of 20:51, 26 October 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=34074
Antitone mapping. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Antitone_mapping&oldid=34074
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article