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Math Help - Compact and sequentially compact

  1. #1
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    Compact and sequentially compact

    Hi,
    I am stuck on a revision question. I need to show that in R^n , compact is equivalent to sequentially compact.
    I know that I have to begin by stating that in R^n "compact" means the same as "bounded and closed" but from here I am stuck.
    Any ideas?
    Thanks!
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by Sooz View Post
    Hi,
    I am stuck on a revision question. I need to show that in R^n , compact is equivalent to sequentially compact.
    I know that I have to begin by stating that in R^n "compact" means the same as "bounded and closed" but from here I am stuck.
    Any ideas?
    Thanks!
    Here is a link that should help.

    Bolzano Weierstrass theorem - Wikipedia, the free encyclopedia
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  3. #3
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    Thanks!

    Hi,
    Sorry it took me so long to reply, thanks very much for your help!
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