1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: INverse of a function between topological spaces and continuity

  1. Oct 21, 2012 #1
    1. The problem statement, all variables and given/known data
    Prove that if the inverse of a function between topological spaces maps base sets to base sets, then the function is continuous.

    2. Relevant equations

    3. The attempt at a solution
    I really don't know how to do this. Wikipedia entry for 'base sets' redirects to Pokemon cards.
  2. jcsd
  3. Oct 22, 2012 #2


    User Avatar
    Science Advisor

    Have you tried playing with the Pokemon cards?

    Just kidding; the standard def. of continuity , AFAIK, is that f:X-->Y is continuous

    iff.(def.) the inverse image of an open subset of Y is open in X. Do you know how

    basic sets relate to open sets?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook