Sunday, 8 April 2018

cardinals - Why are the cardinality of mathbbRn and mathbbR the same?

As I study the first part of abstract algebra, I have a question: why |R|=|R2|?



And moreover, I knew the fact that |R|=|Rn|.



Does the equality apply to any infinite set?

How can I prove them?

No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...