The Divergence Borel-Cantelli Lemma revisited

Victor Beresnevich, Sanju Velani

Let $(\Omega ,\mathcal{A},\mu )$ be a probability space. The classical Borel-Cantelli Lemma states that for any sequence of $\mu$-measurable sets $E_i$ ($i=1,2,3,\dots$), if the sum of thei…