I am not sure how to do this map. I don't know how I can place in particular that element that is in R/Q to R while still being an bijection.
I am trying to map R into the R, such that my map fixes some finite set of rational numbers and sends one element from R\Q into Q.
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analysis
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1Do you mean $\Bbb{R/Q}$ or $\Bbb{R\setminus Q}$? – 2012-12-06
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0Hi, I meant R\Q. Thanks – 2012-12-06