Continuous functions from R to R with this property must be monotone.
If a patch is regular and has this property, then it maps its domain di eo- morphically onto its codomain. Every cofree module has this property, and a module M is said to have this property if it is a direct summand of any module N of which it is a submodule. A functor having this property on maps is called faithful, and if it has this property on objects as well, it is called an   embed- ding. Continuous functions from R to R with this property must be monotone. If there exists a function with this property from X to Y and also from Y to X, then X and Y must have the same cardinality. For ten points, identify this property held by a function f if f(x) and f(y) are always distinct elements of the codomain.
If a patch is regular and has this property, then it maps its domain di eo- morphically onto its codomain.
injectivity [accept word forms]