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Analysis help

  1. Feb 2, 2006 #1
    Could anyone please help with these problems?

    1. show that the denumerable union of denumerable sets is denumerable.

    2. show that for all finite d, N^d is denumerable.

    3. Let k be a symmetric convex set in R^p. show that the functional below is a norm.
    ||x|| subscript k = inf t>= 0 {t: x an element of tk}

    Thanks everyone
     
  2. jcsd
  3. Feb 3, 2006 #2

    Hurkyl

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    Don't double post. :grumpy:

    How far have you gotten on the problem?
     
  4. Feb 4, 2006 #3
    I eventually figured them out. Thanks though.
     
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