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Same cardinality

  1. Sep 21, 2011 #1
    1. The problem statement, all variables and given/known data



    [itex]F(\mathbb{Q},\mathbb{R})[/itex] is the set of maps from [itex]\mathbb{Q}[/itex] to [itex]\mathbb{R}[/itex]. Then show that [itex]F(\mathbb{Q},\mathbb{R})[/itex] and [itex]\mathbb{R}[/itex] have same potency (cardinal number?)..



    2. Relevant equations



    3. The attempt at a solution

    I am no tsure but I think I need to find bijection map between these sets, but how???
     
  2. jcsd
  3. Sep 21, 2011 #2

    micromass

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    What is the cardinal number of [itex]F(\mathbb{Q},\mathbb{R})[/itex]??
     
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