= Equicontinuity
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= Equicontinuous family of functions
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= Equicontinuous
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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.
A family $\mathcal F$ of maps between <metric spaces> is equicontinuous at $x$ when, for every $\varepsilon>0$, one $\delta>0$ works for all $f\in\mathcal F$: $d(x,y)<\delta$ implies $d(f(x),f(y))<\varepsilon$.
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