Establish a bijection between the Long Line and R.
You should be able to solve this.
>>9155504
You said a bijection between the long line and the reals and not a homeomorphism. So it is actually possible and you are not trolling.
>>9155538
Yeah, you read it right. But can you do it?
>>9155504
So, you're basically asking for a bijection between R and RĂ—[0,1)? (Assuming CH, which is obviously the best axiom.)