Consider the set of natural numbers N.Is it possible to build a family of subsets of N such that it's cardinality is continuum and for arbitrary two subsets A and B - A includes B or B includes A?
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Expert's answer
2011-10-27T08:16:38-0400
yes, it is possible. {A, B, C, ...} are needed subsets, and for every of them equation A=N is true: A=N, B=N, ...
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