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Cardinality of R^N

  1. Jun 2, 2010 #1
    What's the cardinality of [tex]\mathbb{R}^{\mathbb{N}}[/tex]?

    It must be [tex]\mathbb{R}[/tex] or [tex]\{0,1\}^{\mathbb{R}}[/tex], but I'm not sure which.
     
  2. jcsd
  3. Jun 2, 2010 #2

    Hurkyl

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    Arithmetic to the rescue!

    RN = (2N)N = ...
     
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