This is a simple question, but should this be written as:
$\hspace{120pt}S^1 \times S^1 = \{(z_1,z_2)\in\mathbb{C}\times\mathbb{C}:|z_1|=|z_2|=1\}$
2026-04-06 12:15:51.1775477751
Set notation of $S^1 \times S^1$
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This set is the set of ordered pairs of points in a circle. There are many ways of wirting it. The 'best' one is that one that fits for the concrete problem that needs it.