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Continuity and closure

  1. Nov 8, 2011 #1
    Hi,
    can anyone help me ?

    Given Topological Spaces (metric spaces) (X, d1) and (Y,d2), show that a function f: X -> Y is continuous if and only if f(cl of A) is a subset of cl of f(A) for all A subset X1.

    How can i proof this ?

    Thank you!!!
     
  2. jcsd
  3. Nov 9, 2011 #2

    micromass

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    What is your definition of continuous?? What properties did you see already about continuity??

    What did you try already to solve this problem??
     
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