How can it be shown that
$$T = \{\,(i, j, k) \mid i, j, k \in\mathbb N\,\} $$
is countably infinite?
2026-04-03 03:15:13.1775186113
Set $T$ is Countably Infinite
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For example, $(i,j,k)\mapsto 2^i3^j5^k$ is an injective map $T\to\mathbb N$.