Mathematics · Topology
Let X be an infinite set. Consider the cofinite topology τ on X whose non-empty open sets are complements of finite sets. Then which of the following statements is true?
- 1X is disconnected
- 2X is compact✓
- 3No sequence in X converges in X
- 4Every sequence in X converges to a unique point in X
Correct answer
X is compact
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