I wanted to see examples of continuous integer-valued functions $f:X\to \mathbb{R}$ on a totally disconnected space $X.$ I have only some abstract examples in mind.
2026-03-30 17:55:17.1774893317
Examples of continuous integer-valued functions on totally disconnected spaces
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You can take $f:\mathbb N\to\mathbb R$, given by $f(n)=n$.