Short map
In mathematics, a short map is a function f from a metric space X to another metric space Y such that for any
we have
- .
Here and denote metrics on and , respectively. In other words, f is short iff it is 1-Lipschitz.
One can say that f is strictly short if the inequality is always strict. Then a contraction mapping is strictly short, but not conversely (even with X = Y).
