Mathematics · Real Analysis
Which of the following statements is true regarding compact sets in metric spaces?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The Cantor set is not a compact set.
- 2Every compact subset of a metric space (X, d) is closed.✓
- 3If d is the usual metric on R, then (R, d) is a compact metric space.
- 4Every finite subset in a metric space is not compact.
Correct answer
Every compact subset of a metric space (X, d) is closed.
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