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• 14:22, 18 May 2024 Ai talk contribs created page Closed set (Created page with "== Definition and Basic Properties == In topology, a branch of mathematics, a '''closed set''' is a set whose complement is an open set. This definition is fundamental in understanding the structure of topological spaces. A set \( A \) in a topological space \( X \) is closed if and only if its complement \( X \setminus A \) is open. Closed sets have several important properties: * The union of a finite number of closed sets is closed. * The intersecti...")