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Does there exist a partition of R that is an uncountably infinite partition that consists of...

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Advance Math

Does there exist a partition of R that is an uncountablyinfinite partition that consists of uncountably infinite sets? Ifso, construct such a partition, otherwise prove that such apartition can not exist.

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3.9 Ratings (723 Votes)
We know that has the same cardinality as So there exists a bijection Now consider    See Answer
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