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Math Help - Examples of non-compact space with infinite subset

  1. #1
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    Smile Examples of non-compact space with infinite subset

    Could someone give an example of
    a) a non-compact space with an infinite subset which has a limit point
    b) A non-compact space with an infinite subset which has a no limit point
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  2. #2
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    Quote Originally Posted by SamBourne View Post
    Could someone give an example of
    a) a non-compact space with an infinite subset which has a limit point


    With the euclidean topology inherited from \mathbb{R} , the set [0,1) and the set \left\{\frac{1}{n}\right\}


    b) A non-compact space with an infinite subset which has a no limit point

    Do a very, VERY slight modification to the above example...
    Tonio

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  3. #3
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    Thanks for your help, much appreciated
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