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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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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- PhD, The Catholic University of America
- PhD, The University of Maryland at College Park
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