If the set of zeros of an analytic function has an accumulation point inside its domain, then is zero everywhere on the connected component containing the accumulation point.
Glass under vacuum becomes more sensitive to chips and scratches in its surface, as these form strain accumulation points, so older glass is best avoided if possible.
When ordering by set inclusion, the infimum limit is the greatest lower bound on the set of accumulation points because it is "contained in" each of them.