# Anti-isomorphism of partially ordered sets

Jump to: navigation, search

A bijective antitone mapping of a partially ordered set $A$ into a partially ordered set $B$, for which the inverse mapping is also antitone, i.e., a one-to-one mapping $\phi : A \rightarrow B$ such that $a < b$ in $A$ implies $\phi(a) > \phi(b)$ in $B$ (and similarly for the inverse).

How to Cite This Entry:
Anti-isomorphism of partially ordered sets. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Anti-isomorphism_of_partially_ordered_sets&oldid=40157
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article