One Unspoken Rule of Measure Theory

Here's a measure theory trick: when asked to prove that a set of points in $\mathbb{R}$ (or some measure space $X$) has a certain property, try to show that the set of points which does NOT have that property has measure 0! This technique is used quite often.

Related Posts

Why are Noetherian Rings Special?

The Back Pocket

Borel-Cantelli Lemma (Pictorially)

The Back Pocket

Necessary vs. Sufficient?

The Back Pocket
Leave a comment!