Definition 14.1.4 (Almost Everywhere). Let $(X, \cm, \mu)$ be a measure space. A statement holds $\mu$-almost everywhere/$\mu$-a.e./a.e. if it is false on a subset of a $\mu$-null set.
Definition 14.1.4 (Almost Everywhere). Let $(X, \cm, \mu)$ be a measure space. A statement holds $\mu$-almost everywhere/$\mu$-a.e./a.e. if it is false on a subset of a $\mu$-null set.