Definition:Transfinite Sequence

Definition
Let $\alpha$ be an infinite ordinal.

Let $\left({x_\beta}\right)_{\beta \mathop \in \alpha}$ be an $\alpha$-indexed family.

Then $\left({x_\beta}\right)_{\beta \mathop \in \alpha}$ is called a transfinite sequence.

Also see

 * Definition:Sequence
 * Definition:Indexed Family