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Dick
Dick is offline
#3
Oct28-09, 05:25 PM
Sci Advisor
HW Helper
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P: 25,168
You don't need Heine-Borel for this. Take an open cover of E. If you add the open set S/E to that (S is the whole space, right?), then you have an open cover of F. Since F is compact... Can you continue?