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    Subset covered by one open ball

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    If a subset A of a metric space X has diameter less than epsilon, then it can be covered with one open ball of radius epsilon. Prove.

    (We must use direct definitions only for the proof).

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    https://brainmass.com/math/linear-algebra/subset-covered-open-ball-21966

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    If a subset A of a metric space X has diameter less than epsilon, then it can be covered with one open ball of radius epsilon. Prove.

    (We must use ...

    Solution Summary

    This is a proof regarding metric spaces. It shows that a subset can be covered by one open ball.

    $2.19

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