Question: A question about topology. Let A be a compact subset of a metric space. By using an approach that results in either a nite cover

A question about topology.

Let A be a compact subset of a metric space. By using an approach that results in either a

nite cover or an impossible sequence of points, prove that for every r > 0, there exists a nite

cover of A that consists of open balls with radius r and centres at points in A.

THE QUESTION IS COMPLETE, thank you in advance! ;-)

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