Subset covered by one open ball
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).
© BrainMass Inc. brainmass.com February 24, 2021, 2:27 pm ad1c9bdddfhttps://brainmass.com/math/linear-algebra/subset-covered-open-ball-21966
Solution Preview
See attachment please for the full solution.
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