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Math Help - prove that if T is closed then the inverse image is closed

  1. #1
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    prove that if T is closed then the inverse image is closed

    Let f : R → R be a continuous function and let S ⊆ R and T ⊆ R. How do I prove that:

    If T is closed, then f−1(T) is closed.
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  2. #2
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    Quote Originally Posted by alice8675309 View Post
    Let f : R → R be a continuous function and let S ⊆ R and T ⊆ R. How do I prove that: If T is closed, then f−1(T) is closed.
    What is the relationship between
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  3. #3
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    To give a complete answer, one would have to know what definition of "closed" you are using (there are several different, but equivalent, definitions).
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