Set Theory - UCLA Mathematics
The smallest size of in nite set is N(see Exercise 1.2). Finally, say a set Xis countable if jXj jNj. Exercise 1.2. If Xis a set, either Xhas the same cardinality as a nite set, or jNj jXj. Exercise 1.3 (A countable union of countable sets is countable.). If X i is a countable set for every i2N, then S i X i is countable. Exercise 1.4.
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