5
$\begingroup$

Given maps $X\to Y\to Z$ such that both $Y\to Z$ and the composition $X\to Z$ are covering spaces, show that $X\to Y$ is a covering space if $Z$ is locally path-connected.

  • 5
    Seems like it looks a lot like Lemma 80.2. in Munkres.2013-08-11

0 Answers 0