Can we prove that set of all nested continued fractions N^N and the set of positive real numbers R^+ are homeomorphic?

Let us have a general sequence a in N^N Question 1 If we simply insert that sequence into the nested fractions, then we get a0+1/(a1+1/(a2+1/(a3+...))) It seems that for any such sequence we...

12 September 2023 8,033 5 View