1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

F is an open mapping implies f inverse cont.

  1. Nov 21, 2008 #1
    We have a continuous bijection f:X-->Y.

    Prove that if f is open, then f inverse is continuous.

    I can't figure it out.
    "Proof". For V open in Y, there exists W open in X such that [tex]f[W] \subseteq V[/tex]. Where does the f is open definition apply?
  2. jcsd
  3. Nov 21, 2008 #2
    Ah! I got it. Posting always helps the blood get flowing. Trying to explain what I know to others.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?