I missed a lecture for my set theory class, so I'm stuck on the following homework problems:
Prove that each of the following sets has the power of the continuum:
a. The set of all infinite sequences of positive integers; b. The set of all ordered n-tuples of real numbers; c. the set of all infinite sequences of real numbers;
From google I was able to find out the definition of the power of continuum but as far as any equivalence proofs I'm stumped. Any insight would be appreciated!