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I got stuck at an exercise, can anybody help me? Let F:X-->Y be a surjective map between two topological spaces satisfying the condition: for any subset A of X, the interior of the image of A is contained in the image of the interior of A. Show that f is continuous.

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 MathOverflow is intended for research-level questions. I think you will have better luck posting questions like this over at math.stackexchange.com, which welcomes questions at all levels. – Andy Putman Sep 29 2011 at 3:03
1 
 mathoverflow.net/faq – Jack Sep 29 2011 at 3:10
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 Just a few more words, I don't think this will be a good question for math.SE. You would also like to read math.stackexchange.com/faq first. – Jack Sep 29 2011 at 3:13
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 The trouble is: it looks like homework. It would be far better to indicate what you've tried and where you get stuck. A blank imperative of the form "show that" is one of the worst kinds of question (it's not even a question). And, to echo others: this isn't the right site for this level of question. – Todd Trimble Sep 29 2011 at 13:34

closed as off topic by Andy Putman, Will Jagy, Joel David Hamkins, Qiaochu Yuan, Nate Eldredge Sep 29 2011 at 4:15

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