Is it true that for every compact subset $A$ of $\mathbb R^2$ , there exist a compact set $B$ in $\mathbb R$ such that there is a continuous surjection from $B$ to $A$ ?
2026-04-13 17:27:32.1776101252
Is every compact set in $\mathbb R^2$ a continuous image of some compact set of $\mathbb R$?
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Yes. Any compact metric space is a continuous image of the Cantor set.