The Jónsson Class of Ordered Sets
This is the principal example of a Jónsson class. Arguments such as the back-and-forth induction of Cantor and Hausdorff occur here in their initial and prototypical form (Theorem 5.3). There is also a useful analogy between the simple arguments concerning the η α -property of ordered sets and the more technically detailed arguments involving the (H α ) and (R α ) properties of Boolean algebras studied in §6 below; in this sense the material of the present section is preparatory to § 6.
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