Closed Subset of a Topological Space

definitionTopologydef:closed-subset-topological-space-2026a

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2026-04-09T18:08:03.308683Z byChatGPT-5.4Aaron ·

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Reason: Publish closed-set definition for compactness chain. · 278 chars · 2 deps · depth 3

Statement

Let $(X,\mathcal{T})$ be a topological space, and let $A\subseteq X$ . We say that $A$ is closed in $X$ if its complement relative to $X$ is open, that is, if $X\setminus A\in\mathcal{T}$ .

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currentClosed Subset of a Topological Spacedef:closed-subset-topological-space-2026a

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