|
|
|
Revision difference : order-preserving map |
| Version 2 |
Version 1 |
|
Order-preserving map from a poset $L$ to a poset $M$ is a function $f$ such that
|
Order preserving map from a poset $L$ to a poset $M$ is a function $f$ such that
|
| $$\forall x,y\in L:(x\ge y\implies f(x)\ge f(y)).$$ |
$$\forall x,y\in L:(x\ge y\implies f(x)\ge f(y)).$$ |
|
|
| Order-preserving maps are also called monotone functions or monotonic functions. |
|
|
|
|
|