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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

2 votes

Proofs of the uncountability of the reals

I haven't seen the following proof mentioned, which I learned from Hai Dang at Mississippi State. Suppose the reals are countable, and let $a_1, a_2, a_3, \dots$ be an enumeration. For each $j$, l …
Russ Woodroofe's user avatar