This might be kind of a silly question but I can't fully grasp why the set X on which the cofinite topology is defined would be contained in the Topology. I know that the closure of all open sets U belonging to the topology will equal X; and what if X is not a finite set ?
2026-05-05 10:17:04.1777976224
How to show X is in the co-finite topology
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The complement of $X$ is the empty set, which is finite.