Compact Set E Ample
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A Set Of Real Numbers S S Is Said To Be Covered By A Collection O O Of Open Sets, When Every Element Of S S Is Contained In At Least One Member Of O O.
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Pick \(X\In M\) And Consider The Open Cover \(\Mathcal{Ball}_X\) Of \(A\) By Balls Centered At \(X\Text{.}\) By Compactness, There Are Finitely Many Such.
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