Difference between revisions of "Antitone mapping"

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=34076

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

@@ Line 2: / Line 2: @@
 ''of partially ordered sets''
-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]].
+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]].
 [[Category:Order, lattices, ordered algebraic structures]]

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Difference between revisions of "Antitone mapping"

Revision as of 20:51, 26 October 2014