How is $\displaystyle \mathbb{R} \cong [0,1] $?

What's the isomorphism?

Printable View

- Mar 18th 2010, 07:02 PMmathman88Real Numbers
How is $\displaystyle \mathbb{R} \cong [0,1] $?

What's the isomorphism? - Mar 26th 2010, 10:34 PMDrexel28
A little more background would be nice? Do you really mean isomorphism? What kind of isomorphism? Group? Ring? It is surely true that these two sets are equipotent. They are not homeomorphic under the usual topology (this is easy to see since once is compact and the other isn't)? etc.