Definition:Transfinite Sequence

From ProofWiki
Jump to: navigation, search

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


Sources