Metric Set Closure

tags:definition |topology |set

Set Closure

Context

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Definition (@Eck23, Definition 1.6). Let $(X,\tau )$ be a metric space, and $S\subseteq X$. The closure of $S$, denoted as $\mathrm{cl}(S)$, is the set of all elements $s\in S$ together with all the accumulation points of S.