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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]].

[[Category:Order, lattices, ordered algebraic structures]]

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How to Cite This Entry:
Antitone mapping. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Antitone_mapping&oldid=34077

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

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