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is an uncountable set. What are the smallest -algebras on containing (a) all singletons; (singletons are sets with one element) (b) all countable subsets; (c)

is an uncountable set. What are the smallest -algebras on containing

(a) all singletons; (singletons are sets with one element)

(b) all countable subsets;

(c) all uncountable subsets;

(d) all innite subsets?

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