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Math Help - continuous

  1. #1
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    continuous

    if f : X--> Y is continuous and onto such that X is compact.

    let g:Y--> Z is a function such that g0f is continuous. prove that g is contiuous.

    how it can be prceeded.
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  2. #2
    Super Member girdav's Avatar
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    Re: continuous

    Is there an assumption over X like Hausdorff? You can show that g^{-1}(F) is closed for F closed.
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