Mathematics · Metric Spaces
Which of the following statements is true for any metric space X?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A subset E of a metric space X is closed if each point of E is a limit point of E
- 2A closed subset of a metric space is always compact
- 3A subset E of a metric space X is open if it contains all its limit points
- 4A compact subset of a metric space is closed✓
Correct answer
A compact subset of a metric space is closed
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