Exercises
[0T7] Let \(Aββ^ n\) be a bounded set. For every \(\varepsilon {\gt}0\) there is a set \(Iβ A\) that satisfies:
\(I\) is a finite set,
\(β x,yβ I\), \(xβ y\) you have \(xβ B(y,\varepsilon )\) (i.e. \(d(x,y)β₯ \varepsilon \)),
- \[ Aβ β_{xβ I} B(x,\varepsilon )~ ~ . \]
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