Difference between revisions of "Antitone mapping"
From Encyclopedia of Mathematics
(Category:Order, lattices, ordered algebraic structures) |
m (Implemented standard functional notation for easier reading.) |
||
| (3 intermediate revisions by one other user not shown) | |||
| Line 1: | Line 1: | ||
| − | {{TEX|done}} | + | {{TEX|done}}{{MSC|06A}} |
| + | |||
''of partially ordered sets'' | ''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 mapping $ \phi $ of a [[partially ordered set]] $ A $ into a partially ordered set $ B $ such that if $ a \leq b $ (where $ a,b \in A $), then $ \phi(a) \geq \phi(b) $. The dual concept to an antitone mapping is an [[isotone mapping]]. |
| − | |||
| − | |||
Latest revision as of 02:57, 9 January 2017
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 $ (where $ a,b \in A $), then $ \phi(a) \geq \phi(b) $. 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