Definition:Cartesian Product/Uncountable

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Let $I$ be an indexing set with uncountable cardinality.

Let $\family {S_\alpha}_{\alpha \mathop \in I}$ be a family of sets indexed by $I$.

The cartesian product of $\family {S_\alpha}$ is denoted:

$\ds \prod_{\alpha \mathop \in I} S_\alpha$

  • Results about Cartesian products can be found here.

Source of Name

This entry was named for René Descartes.