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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


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    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?
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