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    Set of all finite and cofinite subsets of N

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    A subset A of the set N of all natural numbers is defined to be cofinite if N - A (the complement of A in N) is finite. Show that the set of all finite and cofinite subsets of N is an algebra but not a sigma-algebra.

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    https://brainmass.com/math/number-theory/set-all-finite-cofinite-subsets-422960

    Solution Summary

    A complete, detailed proof, including a clarification of what is meant by "the set of all finite and cofinite subsets of N," is provided.

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