What are infinite set that has a finite complement?

An infinite set with a finite complement is a set that contains infinitely many elements, while the elements not in the set (the complement) are limited to a finite number. For example, the set of all natural numbers excludes a finite number of integers, such as only the number 0. This means that the complement, which in this case would be {0}, is finite, while the set of natural numbers itself is infinite. Thus, such sets are often used in various mathematical contexts, especially in topology and set theory.