a closed set contains all its cluster (accumulation) points: points for which any open neighborhood around them no matter how small contains points from the set.(adsbygoogle = window.adsbygoogle || []).push({});

a complete set contains all limit points of Cauchy sequences. which are very similar to cluster points.

My question is: in a metric space and a closed interval (usual topology) is it possible to have points clustering without a cluster point?

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# Is every Closed set a complete space?

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