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E5

[0YQ] Let \(N'(𝜌)\) be the minimum number of balls, with radius \(𝜌\) and centered in \(K\), that are necessary to cover \(K\): then

\[ N'(2𝜌)≀ N(𝜌)≀ N'(𝜌)~ . \]

So the dimension does not change if you require the balls to be centered at points of \(K\).

Solution 1

[0YR]

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