Mathematics · Real Analysis
Which of the following statements in point-set topology and real analysis are correct? (A) A closed set either contains an interval or else is nowhere dense. (B) The derived set of any set is closed. (C) The union of an arbitrary family of closed sets is closed. (D) The set R of real numbers is both open and closed. Choose the correct answer from the options given below:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(B), (C) and (D) only
- 2(A), (C) and (D) only
- 3(A), (B) and (C) only
- 4(A), (B) and (D) only✓
Correct answer
(A), (B) and (D) only
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