Real analysis

Oct 27th, 2015
Price: $5 USD

Question description

For each n ∈ N, let Fn denote the set of all n-element subsets of N. Thus F0={Ø}, F1={{1},{2},...}, F2={{1,2},{1,3},...}, etc.

(a) Show that Fn is countable for each n.

(b) Show that the set F = F0 ∪ F1 ∪ F2 ∪ ... of all finite subsets of N is countable.

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