order-preserving map
Order-preserving maps are also called monotone functions or monotonic functions or order homomorphisms or isotone functions or isotonic functions.
Order-reversing map from a poset to a poset is a function such that
Order-reversing maps are also called antitone functions.
Title | order-preserving map |
Canonical name | OrderpreservingMap |
Date of creation | 2013-03-22 17:44:43 |
Last modified on | 2013-03-22 17:44:43 |
Owner | porton (9363) |
Last modified by | porton (9363) |
Numerical id | 10 |
Author | porton (9363) |
Entry type | Definition |
Classification | msc 06A06 |
Synonym | monotone function |
Synonym | monotonic function |
Synonym | order homomorphism |
Synonym | isotone function |
Synonym | isotonic function |
Synonym | order-preserving |
Synonym | isotone |
Synonym | isotonic |
Synonym | order-reversing |
Synonym | antitonic |
Synonym | antitone |
Related topic | Poset |
Related topic | LatticeHomomorphism |
Defines | monotonicity |