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real analysis - Does taking countably-many "greedy" closed-ball bites from an open subset of "ice cream" in Euclidean space always leave a set of measure zero?

real analysis – Does taking countably-many “greedy” closed-ball bites from an open subset of “ice cream” in Euclidean space always leave a set of measure zero?

Partial solution handling the unbounded case (not possible) and 1 dimensional case (possible). Here’s a counter example if $W$ is

real analysis – Does taking countably-many “greedy” closed-ball bites from an open subset of “ice cream” in Euclidean space always leave a set of measure zero? Read Post »

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