Any infinite cardinal $Z$ can be expressed as a countable union of disjoint sets, each of them has the same size $Z$.
Any help will be appreciated.
2026-04-12 05:52:39.1775973159
How to prove that every infinite cardinal $Z$ is equal the countable sum of sets of size $Z$?
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Hint: Recall that $Z$ and $Z \times \mathbb{N}$ have the same cardinality. It should be much easier to work with the second set.