Equicontinuous family of functions
= Equicontinuous family of functions
{wiki=Equicontinuity}
= Equicontinuous
{synonym}
A family $\mathcal F$ of maps between metric spaces is equicontinuous when, near each point, one input tolerance controls the output variation uniformly for every $f\in\mathcal F$. Uniform equicontinuity uses one input tolerance over the whole domain.