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Same cardinality

  • Thread starter burak100
  • Start date
  • #1
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Homework Statement





[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?)..



Homework Equations





The Attempt at a Solution



I am no tsure but I think I need to find bijection map between these sets, but how???
 

Answers and Replies

  • #2
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What is the cardinal number of [itex]F(\mathbb{Q},\mathbb{R})[/itex]??
 

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