Mathematics · Topology
Let X be a topological space. Which of the following conditions does NOT hold for the closed sets in X?
- 1Arbitrary intersections of closed sets are closed.
- 2Finite unions of closed sets are not closed.✓
- 3The empty set ∅ and the whole space X are closed.
- 4Finite unions of closed sets are closed.
Correct answer
Finite unions of closed sets are not closed.
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