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In mathematics, a cofinite subset of a set X {\displaystyle X} is a subset A {\displaystyle A} whose complement in X {\displaystyle X} is a finite set. In other words, A {\displaystyle A} contains all but finitely many elements of X . {\displaystyle X.} If the complement is not finite, but is countable, then one says the set is cocountable.
Products, Cofinite topology & Boolean algebras
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displaystyle topology cofinite set finite many sets complement product every open direct subsets closed contains finitely boolean sum whole since
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