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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 dX and dY denote metrics on X and Y, 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).

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