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

19 votes

Proofs of the uncountability of the reals

There is a surjection from $\mathbb{R}$ onto $\omega_{1}$, but none from $\omega$. (Edit: I see, buried amongst the many comments, that bof suggested this proof for $P(\omega)$ instead of $\mathbb{R …
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