order-preserving map

Order-preserving map from a poset L to a poset M is a functionMathworldPlanetmath f such that


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 L to a poset M is a function f 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