Basic concepts in infinite set theory

Cocountability

In mathematics, a cocountable subset of a set X is a subset Y whose complement in X is a countable set. In other words, Y contains all but countably many elements of X. Since the rational numbers are a countable subset of the reals, for example, the irrational numbers are a cocountable subset of the reals. If the complement is finite, then one says Y is cofinite. (Wikipedia).

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Complement (set theory) | Countable set | Mathematics | Cocountable topology | Empty set | Subset