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Thread: Real Analysis - Compact Sets #2

  1. November 16th 2008, 09:48 AM #1
    ajj86
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    Real Analysis - Compact Sets #2

    Show that if K is compact and F is closed, then K intersection F is compact.
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  2. November 16th 2008, 02:02 PM #2
    ThePerfectHacker
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    Quote Originally Posted by ajj86 View Post
    Show that if K is compact and F is closed, then K intersection F is compact.
    Hint: The intersection of two closed sets is closed.
    Hint: The intersection of a bounded set and another set is bounded or empty.
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