Countable Set Sigma Algebra
# Statement
Let $S$ be a Set. Then the Collection $$\mathcal{M} = {E \subset S : E \text{ is countable or }E^{C} \text{ is countable}}$$ is a Sigma Algebra. We call it the Countable Set Sigma Algebra.
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Let $S$ be a Set. Then the Collection $$\mathcal{M} = {E \subset S : E \text{ is countable or }E^{C} \text{ is countable}}$$ is a Sigma Algebra. We call it the Countable Set Sigma Algebra.