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Difference between revisions of "Union of a finite collection of closed sets is closed"
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Latest revision as of 13:55, 31 October 2010
Prove that the union of a finite collection of closed sets is closed.
It follows from the fact that intersection of a finite collection of open sets is open. Closed sets are complement of open sets after all.
It's a part of the definition of topological space in terms of closed sets, by the way.
