I have not yet taken a class on this, but it's very interesting. If someone knows, please reply.
Two infinite sets are supposed to be of the same power if and only if there exists an isomorphism (i.e., a one-to-one and onto function from one set to the other).
R (the set of reals) and C (the set of complex numbers) both supposedly have the power c (continuum). Therefore, there's supposed to be a one-to-one and onto function from R to C and/or vice versa.
I couldn't think one up though. Any definite examples?
Edit: Incorrectly stated the power of R and C is Aleph-0.
no reply: angry :|
Hi, Yoni, interesting problem, too bad I don't have a solution.