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Thread: Continuity and closure

  1. #1 Continuity and closure 
    New Member
    Join Date
    Nov 2011
    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!!!

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