(adsbygoogle = window.adsbygoogle || []).push({}); Proof for similarity between R X R, and R....

Well, there are actually two similar questions that I need help on. The first is to prove that for any infinite set R, there is always a 1-1, and onto mapping from RxR to R.

The second is to show that (RXR, +) ~ (R, +). Here R is the reals, and ~ symbolizes that the two are isomorphic.

I know the two questions are similar, which is why I grouped them together. I'm just not sure where to start. Any help would be great, and I'll be sure to post my progress. Thanks

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# Proof for similarity between R X R, and R

**Physics Forums | Science Articles, Homework Help, Discussion**