Uniform tightness
= Uniform tightness
{title2=$\forall\varepsilon>0\ \exists K\text{ compact}:\inf_{\mu\in S}\mu(K)>1-\varepsilon$}
= Uniformly tight
{synonym}
The same <compact set> must work simultaneously for every <measure> in the family. <Prokhorov's theorem> relates this condition to relative compactness for the <weak topology of probability measures> on a <Polish space>.