Order Type

Pub Mar 05, 2026 Up Jun 10, 2026

Definition 1. Every well-ordered set $W$ is isomorphic to a unique ordinal number. This unique ordinal number is called the order type of $W$ (with respect to the given well-order).


References

[1]
Wikipedia contributors. Order type. Wikipedia, The Free Encyclopedia.
[2]
Thomas Jech. Set Theory. 3rd Millennium ed, rev. and expanded. Springer, 2002. p. 20.