It seems to me that all curve segments in $\Bbb R^2$ are of measure $0$. In other words, they can be covered by a countable set of open rectangles with volume arbitrarily small. Any counter example to that?
2026-04-03 03:56:41.1775188601
What is an example of a curve segment in $\Bbb R^2$ not of measure $0$?
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