Mathematics · Topology
Let (X, d) be a metric space and A ⊆ X be a non-empty subset. Which of the following statements is always correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Every point in A is a limit point of A.
- 2The interior of A is always non-empty.
- 3Every limit point of A lies in the closure of A.✓
- 4A is open if and only if A is equal to its closure.
Correct answer
Every limit point of A lies in the closure of A.
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