Definition:Ordered Product/General Definition

Definition

Let $S_1, S_2, \ldots, S_n$ all be tosets.

Then we define $T_n$ as the ordered product of $S_1, S_2, \ldots, S_n$ as:

$\forall n \in \N_{>0}: T_n = \begin{cases} S_1 & : n = 1 \\ T_{n-1} \cdot S_n & : n > 1 \end{cases}$