Definition:Transfinite Sequence
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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
- 2008: Paul Halmos and Steven Givant: Introduction to Boolean Algebras ... (previous) ... (next): Appendix $\text{A}$: Set Theory: Sequences