Función corta

En matemáticas, una función corta es una función f de un espacio métrico X en otro espacio métrico Y tal que para todos se tiene que

.

Aquí y denotan métricas en y , respectivamente. En otras palabras, f es corta ssi es 1-Lipschitz.

Se puede decir que f es estrictamente corta si la desigualdad, salvo en el caso , es siempre estricta. Entonces una contracción es estrictamente corta, pero no recíprocamente (incluso con X = Y).

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