If the complement of the set is open, then its a closed set. That's all there is to it.(adsbygoogle = window.adsbygoogle || []).push({});

The definition says that a particular condition must be satisfied forallclosed sets in that space. If the topology says that some set is not a closed set, then you don't consider that set. The condition does not have to hold for such sets, since they are not closed.

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# Completely regular spaces

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