Definition:Countable Ordinal

Definition

Let $\alpha$ be an ordinal.

Then $\alpha$ is said to be countable if and only if it is a countable set.

Also see

• Definition:Finite Ordinal
• Definition:Transfinite Ordinal

• Definition:Uncountable Ordinal

Sources

There are no source works cited for this page. In particular: This concept is used in 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) but not defined. The definition given here is guessed. Source citations are highly desirable, and mandatory for all definition pages. Definition pages whose content is wholly or partly unsourced are in danger of having such content deleted. To discuss this page in more detail, feel free to use the talk page.