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September 14th, 2017, 12:40 AM  #1 
Member Joined: Jan 2016 From: United Kingdom Posts: 33 Thanks: 0  Is there a bijection from R^n to R?
Hi, I need a bijection from r^n to r and it does not have to be continuous. Can anyone think of one? Am struggling. I should say this is for n>1. 
September 14th, 2017, 01:09 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,094 Thanks: 1088 
I confess this stuff is above me but this seems to be what you are after https://math.stackexchange.com/quest...rtomathbbrn This also seems to have so relevant and interesting discussion. https://math.stackexchange.com/quest...edirect=1&lq=1 Last edited by romsek; September 14th, 2017 at 01:42 AM. 

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