4
$\begingroup$

Let $\chi$ be the characteristic function of the rational numbers in $[0,1]$. Does there exist a sequence $\{f_n\}$ of continuous functions on $[0,1]$ that converges pointwise to $\chi$?

  • 2
    Good questions here should have two additional pieces of information: where you encountered the problem, and what you have already tried.2011-09-15

0 Answers 0